# Application of Integrals MCQ Questions for Class 12 Maths Chapter 8 with Answers

Find here the NCERT chapter-wise Multiple Choice Questions from Class 12 Mathematics book Chapter 8 Application of Integrals with Answers Pdf free download. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Application of Integrals. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

## Q1. Tangents to the curve x² + y²= 2 at the points (1, 1) and (-1, 1) are

(i) parallel
(ii) perpendicular
(iii) intersecting but not at right angles
(iv) none of these

(ii) perpendicular

(i) x = 0
(ii) x + y = 0
(iii) y = 0
(iv) x – y = 0

(ii) x + y = 0

## Q3. The coordinates of the point on the parabola y2 = 8x which is at minimum distance from the circle x2 + (y + 6)2 = 1 are

(i) (2, -4)
(ii) (18, -12)
(iii) (2, 4)
(iv) none of these

(i) (2, -4)

(i) (1, ∞)
(ii) (-1, ∞)
(iii) (0, ∞)
(iv) (-∞, ∞)

(iv) (-∞, ∞)

(i) 1 s
(ii) 3/4 s
(iii) 4/3 s
(iv) 4 s

(iii) 43 s

## Q6. A particle is moving along the curve x = at² + bt + c. If ac = b², then particle would be moving with uniform

(i) rotation
(ii) velocity
(iii) acceleration
(iv) retardation

(iii) acceleration

(i) (3, 1)
(ii) (4, 1)
(iii) (6,1)
(iv) (5, 1)

(i) (3, 1)

(i) (2, 3)
(ii) (2, -1)
(iii) (2, 1)
(iv) (1, 2)

(iv) (1, 2)

(i) 9√3
(ii) 8√3
(iii) 4√3
(iv) 7√3

(i) 9√3

## Q10. If y = x³ + x² + x + 1, then y

(i) has a local minimum
(ii) has a local maximum
(iii) neither has a local minimum nor local maximum
(iv) None of these

(iii) neither has a local minimum nor local maximum

(i) √3 cm2/s
(ii) 10 cm2/s
(iii) 10√3 cm2/s
(iv) 10/√3 cm2/s

(iii) 10√3 cm2/s

(i) 45.46
(ii) 45.76
(iii) 44.76
(iv) 44.46

(i) 45.46

(i) 25
(ii) 43
(iii) 62
(iv) 49

(iv) 49

(i) 1%
(ii) 2%
(iii) 3%
(iv) 4%

(i) 1%

(i) 1, -1, -1/5
(ii) 1, -1
(iii) 1, -1/5
(iv) -1, -1/5

(i) 1, -1, -1/5

(i) 80π cu m/s
(ii) 144π cu m/s
(iii) 80 cu m/s
(iv) 64 cu m/s

(i) 80π cu m/s

(i) 2 sq. units
(ii) 4 sq, units
(iii) 3 sq.units
(iv) 1 sq. units

(i) 2 sq. units

(i) 2.46π cm³
(ii) 8.62π cm³
(iii) 9.72π cm³
(iv) 7.46π cm³

(iii) 9.72π cm³

## Q19. f(x) = 3x² + 6x + 8, x ∈ R

(i) 2
(ii) 5
(iii) -8
(iv) does not exist

(iv) does not exist

## Q20. The area bounded by the lines y = |x| – 1 and y = -|x| + 1 is

(i) 1 sq. unit
(ii) 2 sq. unit
(iii) 2√2 sq. units
(iv) 4 sq. units

(ii) 2 sq. unit

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