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Class 12 Mathematics — Application of Integrals Important Questions with Answers (Long answers)

Class 12 Mathematics board is relations-functions, inverse trig, matrices-determinants, calculus (continuity to differential equations), vectors-3D and probability (Bayes, distribution). This hub writes 150+ NCERT-true items. “Integrals class 12 important questions” and “matrices MCQ” are the chips. Twenty questions a page; the key stays closed. No leaked CBSE paper claims.

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  4. 20 प्रश्न / पेज

Application of Integrals — समाकलनों के अनुप्रयोग

Area under a curve and between two curves. Draw; find intersections; integrate with respect to the easier axis. A bounded-area question wants the enclosed piece only. You are on Application of Integrals (Long answers), page 1 of 1 — 2 questions in this filter. Long answers model a five-mark write-up: definition, reason, one diagram or equation idea, and a closing line. Do not copy the whole block in the exam; steal the order. This view is for the night before a unit test. Phone layout: chapter chips scroll sideways, answers stay inside a tap, and the next page is a numbered link so Google and students both get a short URL. Updated for 2026 classroom practice on the rationalized NCERT.

All Q&A MCQ test Short answers Long answers Important
All chapters 1. Relations and Functions 2. Inverse Trigonometric Functions 3. Matrices 4. Determinants 5. Continuity and Differentiability 6. Application of Derivatives 7. Integrals 8. Application of Integrals 9. Differential Equations 10. Vector Algebra 11. Three Dimensional Geometry 12. Linear Programming 13. Probability

Page 1 of 1 · 2 questions in this view

Q.101 Long Application of Integrals

Application of Integrals पर एक 4-अंक का हल लिखें जिसमें जाँच भी हो।

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दिया: संख्याएँ 26, 6।
विधि: अध्याय Application of Integrals का नियम लागू करें।
गणना: योग 32, गुणन 156।
जाँच: उलटा संक्रिया या प्रतिस्थापन।
अंत: शब्द-समस्या में वाक्य में उत्तर लिखें।

Q.104 Long Application of Integrals

Class 12 Mathematics — Application of Integrals पर एक unit-test उत्तर लिखें (परिचय, 4 बिंदु, निष्कर्ष)।

View the correct answer

Area under a curve and between two curves. Draw; find intersections; integrate with respect to the easier axis. A bounded-area question wants the enclosed piece only.

चार बिंदु: (1) NCERT परिभाषा/सूत्र/घटना। (2) एक उदाहरण या आरेख-विचार। (3) एक तुलना या कारण। (4) एक साधारण संख्यात्मक या उद्धरण यदि पाठ माँगता है।
निष्कर्ष: उत्तर अध्याय-सत्य रखें — बोर्ड की डेटशीट यहाँ नहीं गढ़ी गई।

People also ask — Class 12 Mathematics

Class 12 Mathematics में कितने प्रश्न हैं? 169 महत्वपूर्ण प्रश्न: 104 MCQ, 39 लघु, 26 दीर्घ। NCERT गणित के rationalized अध्याय।

उत्तर कहाँ हैं? हर प्रश्न के नीचे View the correct answer दबाएँ। पहले स्वयं लिखें, फिर मिलाएँ। MCQ में सही विकल्प और एक पंक्ति की व्याख्या है।

पेज क्यों बँटे हैं? एक स्क्रीन पर 20 प्रश्न। बाकी Page 2, 3 पर — फोन पर स्क्रॉल छोटा रहता है। यह पेज 1/1 है।

Application of Integrals क्यों महत्वपूर्ण है? Area under a curve and between two curves. Draw; find intersections; integrate with respect to the easier axis. A bounded-area question wants the enclosed piece only.…

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