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3 Mark Questions · original practice

Class 9 Mathematics 3 Mark Questions

3 Mark Questions for Class 9 Mathematics. Try first, then reveal the answer. These are exam-oriented practice items, not copied board papers.

Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.

Answers opened: 0

Practice set

Q413 Mark3 marksModerateRevision pick

Explain Number Systems in about three points, with one example.

Answer

Terminating or repeating decimals are rational. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Number Systems in about three points, with one example.

Answer

√2 is irrational. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Number Systems in about three points, with one example.

Answer

Every real number corresponds to a point on the number line. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Number Systems in about three points, with one example.

Answer

Laws of exponents for real numbers as in the chapter. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Number Systems in about three points, with one example.

Answer

Number Systems is an NCERT chapter taught in CBSE Class 9 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Number Systems · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Polynomials in about three points, with one example.

Answer

Degree is the highest power with non-zero coefficient. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Polynomials in about three points, with one example.

Answer

A linear polynomial has degree 1. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Remainder theorem in about three points, with one example.

Answer

Remainder theorem: remainder is p(a) when divided by x−a. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Polynomials in about three points, with one example.

Answer

Zero of p(x) is a value where p(a)=0. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Polynomials in about three points, with one example.

Answer

Polynomials is an NCERT chapter taught in CBSE Class 9 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Polynomials · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Coordinate Geometry in about three points, with one example.

Answer

The origin is (0,0). Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Coordinate Geometry in about three points, with one example.

Answer

Quadrants I–IV. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Coordinate Geometry in about three points, with one example.

Answer

Abscissa is x; ordinate is y. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Coordinate Geometry in about three points, with one example.

Answer

Plotting is the skill. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Coordinate Geometry in about three points, with one example.

Answer

Coordinate Geometry is an NCERT chapter taught in CBSE Class 9 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Coordinate Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Linear Equations in Two Variables in about three points, with one example.

Answer

The graph is a straight line. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Linear Equations in Two Variables in about three points, with one example.

Answer

x=0 and y=0 intercepts. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Linear Equations in Two Variables in about three points, with one example.

Answer

A pair of values that satisfy is a solution. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Real-life in about three points, with one example.

Answer

Real-life: cost and quantity. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Linear Equations in Two Variables in about three points, with one example.

Answer

Linear Equations in Two Variables is an NCERT chapter taught in CBSE Class 9 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Linear Equations in Two Variables · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Introduction to Euclid’s Geometry in about three points, with one example.

Answer

Euclid’s postulates include a unique line through two points. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Introduction to Euclid’s Geometry in about three points, with one example.

Answer

Definitions, axioms, theorems. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Introduction to Euclid’s Geometry in about three points, with one example.

Answer

A theorem is proved. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Introduction to Euclid’s Geometry in about three points, with one example.

Answer

Playfair’s version of the parallel postulate is often discussed. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Introduction to Euclid’s Geometry in about three points, with one example.

Answer

Introduction to Euclid’s Geometry is an NCERT chapter taught in CBSE Class 9 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Introduction to Euclid’s Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Lines and Angles in about three points, with one example.

Answer

Vertically opposite angles are equal. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Lines and Angles in about three points, with one example.

Answer

Corresponding angles are equal if lines are parallel. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Lines and Angles in about three points, with one example.

Answer

Alternate interior angles. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Lines and Angles in about three points, with one example.

Answer

Sum of angles on a straight line is 180°. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Lines and Angles in about three points, with one example.

Answer

Lines and Angles is an NCERT chapter taught in CBSE Class 9 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Lines and Angles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Triangles in about three points, with one example.

Answer

Angles opposite equal sides are equal. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Triangle inequality in about three points, with one example.

Answer

Triangle inequality: sum of two sides > third. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Triangles in about three points, with one example.

Answer

Exterior angle equals sum of remote interiors. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Triangles in about three points, with one example.

Answer

CPCT after congruence. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Triangles in about three points, with one example.

Answer

Triangles is an NCERT chapter taught in CBSE Class 9 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Triangles · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q413 Mark3 marksModerateRevision pick

Explain Quadrilaterals in about three points, with one example.

Answer

Diagonals bisect each other. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q423 Mark3 marksModerate

Explain Quadrilaterals in about three points, with one example.

Answer

A quadrilateral is a parallelogram if one pair of opposite sides is equal and parallel. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q433 Mark3 marksModerate

Explain Quadrilaterals in about three points, with one example.

Answer

Mid-point theorem. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q443 Mark3 marksDifficult

Explain Quadrilaterals in about three points, with one example.

Answer

Angle sum 360°. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q453 Mark3 marksModerateRevision pick

Explain Quadrilaterals in about three points, with one example.

Answer

Quadrilaterals is an NCERT chapter taught in CBSE Class 9 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

Q463 Mark3 marksModerate

Explain Textbook first in about three points, with one example.

Answer

Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.

Explanation

Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.

Meta

Class: Class 9 · Subject: Mathematics · Chapter: Quadrilaterals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).

FAQs

Are these official CBSE board questions?

No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.

Will these questions appear in the board exam?

Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.

Is the chapter list the latest NCERT list?

Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.

Where are NCERT solutions?

Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.

What is the suggested URL pattern?

Hub /cbse/, then /cbse/class-9/, then subject and chapter slugs.

Why is this a separate URL?

So students searching for “3 Mark Questions” land on a filtered set, while the chapter page remains the full 100-question bank. Same facts, different search intent.

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