NCERT Based Area Between Curves MCQs
NCERT Based Area Between Curves MCQs
Class: CBSE Class 12
Subject: Mathematics
Section: Applications of Integrals
Topic: Area Between Curves MCQs
Exam Focus: CBSE Board Examinations
Subject: Mathematics
Section: Applications of Integrals
Topic: Area Between Curves MCQs
Exam Focus: CBSE Board Examinations
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 12 Board Examination preparation. Each question includes detailed explanation for concept clarity.
Q1. Area between two curves is given by:
Answer: a)
Area is always computed as upper function minus lower function.
Area is always computed as upper function minus lower function.
Q2. Area between y = x and y = x² from 0 to 1:
Answer: a)
∫₀¹ (x − x²) dx = 1/6.
∫₀¹ (x − x²) dx = 1/6.
Q3. If curves intersect, limits are taken at:
Answer: a)
Q4. Area is always:
Answer: a)
Q5. If lower curve greater than upper:
Answer: a)
Q6. Area between y=x² and y=0 from 0→2:
Answer: a)
Q7. Unit of area:
Answer: a)
Q8. Area symmetric about y-axis:
Answer: a)
Q9. ∫₀² x dx gives area:
Answer: a)
Q10. Area between y=sinx and x-axis 0→π:
Answer: a)
Q11. ∫₀¹ (1−x²) dx area:
Answer: a)
Q12. Upper curve decided by:
Answer: a)
Q13. If curves coincide:
Answer: a)
Q14. ∫₀¹ x² dx area:
Answer: a)
Q15. Area between curves uses:
Answer: a)
Q16. ∫₀² 2x dx area:
Answer: a)
Q17. Geometrically integral gives:
Answer: a)
Q18. Area is non-negative because:
Answer: a)
Q19. Area between x-axis & curve uses:
Answer: a)
Q20. Area between curves is zero when:
Answer: a)
No region enclosed.
No region enclosed.