CBSE Class 12 Application of Derivatives Multiple Choice Questions with Answers. MCQ Questions Class 12 Application of Derivatives with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Application of Derivatives with Answers to know their preparation level.
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MCQ Questions Class 12 Application of Derivatives with Answers - Set - 1
Question 1:
The slope of tangent to the curve x = t² + 3t – 8, y = 2t² – 2t – 5 at the point (2, -1) is
(a) 22/7
(b) 6/7
(c) −6/7
(d) -6
Correct Answer – (C)
Question 2:
The points at which the tangents to the curve y = x² – 12x +18 are parallel to x-axis are
(a) (2, – 2), (- 2, -34)
(b) (2, 34), (- 2, 0)
(c) (0, 34), (-2, 0)
(d) (2, 2),(-2, 34).
Correct Answer – (D)
Question 3:
If y = x4 – 10 and if x changes from 2 to 1.99 what is the change in y
(a) 0.32
(b) 0.032
(c) 5.68
(d) 5.968
Correct Answer – (A)
Question 4:
The equation of normal to the curve 3x² – y² = 8 which is parallel to the line ,x + 3y = 8 is
(a) 3x – y = 8
(b) 3x + y + 8 = 0
(c) x + 3y ± 8 = 0
(d) x + 3y = 0
Correct Answer – (C)
Question 5:
A ladder, 5 meter long, standing oh a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of 10 cm/sec, then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is
(a) 1/10 radian/sec
(b) 1/20 radian/sec
(c) 20 radiah/sec
(d) 10 radiah/sec
Correct Answer – (B)
MCQ Questions Class 12 Application of Derivatives With Answers
Question 6:
The tangent to the curve y = e2x at the point (0, 1) meets x-axis at
(a) (0, 1)
(b) (-1/2, 0)
(c) (2, 0)
(d) (0, 2)
Correct Answer – (B)
Question 7:
The equation of tangent to the curve y (1 + x²) = 2 – x, w here it crosses x-axis is:
(a) x + 5y = 2
(b) x – 5y = 2
(c) 5x – y = 2
(d) 5x + y = 2
Correct Answer – (A)
Question 8:
If the curve ay + x² = 7 and x³ = y, cut orthogonally at (1, 1) then the value of a is
(a) 1
(b) 0
(c) -6
(d) 6
Correct Answer – (D)
Question 9:
The curve y – x1/5 at (0, 0) has
(a) a vertical tangent (parallel to y-axis)
(b) a horizontal tangent (parallel to x-axis)
(c) an oblique tangent
(d) no tangent
Correct Answer – (B)
Question 10:
The sides of an equilateral triangle are increasing at the rate of 2cm/sec. The rate at which the are increases, when side is 10 cm is
(a) 10 cm²/s
(b) √3 cm²/s
(c) 10√3 cm²/s
(d) 10/3 cm²/s
Correct Answer – (C)
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