Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 8 Application of Integrals. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Application of Integrals MCQs Pdf with Answers to know their preparation level.
Application of Integrals Class 12 Maths MCQs Pdf
1. Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is
(a) 2 sq units
(b) 0 sq units
(c) 3 sq units
(d) 4 sq units
Answer/Explanation
Answer: d
Explaination:
(d), as sin x is positive in 1st and 2nd quadrant and negative is 3rd and 4th quadrant.
2. Area of the region bounded by the curve y = \(\sqrt{49-x^{2}}\) and the x-axis is
(a) \(\frac{49}{2}\)π sq units
(b) 98π sq units
(c) 49π sq units
(d) 240π sq units
Answer/Explanation
Answer:
Explaination:
3. Area of the region bounded by the curve x = 2y + 3, the y-axis and between y = -1 and y = 1 is
(a) 4 sq units 3
(b) \(\frac{3}{2}\) sq units
(c) 6 sq units
(d) 8 sq units
Answer/Explanation
Answer: c
Explaination: (c), as area = \(\int_{-1}^{1}\) (2y + 3)dy = 6 sq units
4. The area of the region bounded by the curve y = \(\frac{1}{x}\), the x-axis and between x = 1 to x = 6 is ________ .
Answer/Explanation
Answer:
Explaination:
5. The area enclosed by the curve y = x² and y = 8 is________.
Answer/Explanation
Answer:
Explaination:
6. The area of the region bounded by the curve y² = x, the y-axis and between y = 2 and y = 4 is \(\frac{56}{3}\) sq units. State true or false.
Answer/Explanation
Answer:
Explaination:
7. Find the area of the region bounded by the curve y = \(\frac{41}{x}\), x-axis and between x = 1, x = 4.
Answer/Explanation
Answer:
Explaination:
8. Write an expression for finding the area bounded by the curves y = sin x and y = cos x, between x = 0, x = \(\frac{\pi}{2}\) and the x-axis. [HOTS]
Answer/Explanation
Answer:
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9. Find the area of the region bounded by the curve y = x² and the line y = 4. [NCERT]
Answer/Explanation
Answer:
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10. Using integration find the area of the region bounded by the parabola y = x² and the line y = x. [Delhi 2013(C)]
Answer/Explanation
Answer:
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11. Find the area bounded by the curve y² = 4ax and the line y = 2a and the y-axis.
Answer/Explanation
Answer:
Explaination:
12. Find the area bounded by the curve y = cos x between x = 0 and x = 2π. [NCERT]
Answer/Explanation
Answer:
Explaination:
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