MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers Set-A

Application of Derivatives Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Application of Derivatives Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 6 Quiz

Class 12 Maths Chapter 6 MCQ Online Test

You can refer to NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Application of Derivatives Class 12 Maths MCQ online test

Q1.	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. \(\frac{10}{3}\) cm²/s

Ans: 10√3 cm²/s

Q2.	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. \(\frac{1}{10}\) radian/sec
	B. \(\frac{1}{20}\) radian/sec
	C. 20 radiah/sec
	D. 10 radiah/sec

Ans: \(\frac{1}{20}\) radian/sec

Q3.	The curve y – x^1/5 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

Ans: a horizontal tangent (parallel to x-axis)

Q4.	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

Ans: x + 3y ± 8 = 0

Q5.	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

Ans: 6

Q6.	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

Ans: 0.32

Q7.	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

Ans: x + 5y = 2

Q8.	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).

Ans: (2, 2),(-2, 34).

Q9.	The tangent to the curve y = e^2x at the point (0, 1) meets x-axis at
	A. (0, 1)
	B. (-\(\frac{1}{2}\), 0)
	C. (2, 0)
	D. (0, 2)

Ans: (-\(\frac{1}{2}\), 0)

Q10.	The slope of tangent to the curve x = t² + 3t – 8, y = 2t² – 2t – 5 at the point (2, -1) is
	A. \(\frac{22}{7}\)
	B. \(\frac{6}{7}\)
	C. \(\frac{-6}{7}\)
	D. -6

Ans: \(\frac{-6}{7}\)

Q11.	The two curves; x³ – 3xy² + 2 = 0 and 3x²y – y³ – 2 = 0 intersect at an angle of
	A. \(\frac{π}{4}\)
	B. \(\frac{π}{3}\)
	C. \(\frac{π}{2}\)
	D. \(\frac{π}{6}\)

Ans: \(\frac{π}{4}\)

Q12.	The interval on which the function f (x) = 2x³ + 9x² + 12x – 1 is decreasing is
	A. [-1, ∞]
	B. [-2, -1]
	C. [-∞, -2]
	D. [-1, 1]

Ans: [-2, -1]

Q13.	Let the f: R → R be defined by f (x) = 2x + cos x, then f
	A. has a minimum at x = 3t
	B. has a maximum, at x = 0
	C. is a decreasing function
	D. is an increasing function

Ans: is an increasing function

Q14.	y = x (x – 3)² decreases for the values of x given by
	A. 1 < x < 3
	B. x < 0
	C. x > 0
	D. 0 < x <\(\frac{3}{2}\)

Ans: 1 < x < 3

Q15.	The function f(x) = 4 sin³ x – 6 sin²x + 12 sin x + 100 is strictly
	A. increasing in (π, \(\frac{3π}{2}\))
	B. decreasing in (\(\frac{π}{2}\), π)
	C. decreasing in [\(\frac{-π}{2}\),\(\frac{π}{2}\)]
	D. decreasing in [0, \(\frac{π}{2}\)]

Ans: decreasing in [\(\frac{-π}{2}\),\(\frac{π}{2}\)]

Q16.	Which of the following functions is decreasing on(0, \(\frac{π}{2}\))?
	A. sin 2x
	B. tan x
	C. cos x
	D. cos 3x

Ans: cos x

Q17.	The function f(x) = tan x – x
	A. always increases
	B. always decreases
	C. sometimes increases and sometimes decreases
	D. never increases

Ans: always increases

Q18.	If x is real, the minimum value of x² – 8x + 17 is
	A. -1
	B. 0
	C. 1
	D. 2

Ans: 2

Q19.	The smallest value of the polynomial x³ – 18x² + 96x in [0, 9] is
	A. 126
	B. 0
	C. 135
	D. 160

Ans: 0

Q20.	The function f(x) = 2x³ – 3x² – 12x + 4 has
	A. two points of local maximum
	B. two points of local minimum
	C. one maxima and one minima
	D. no maxima or minima

Ans: one maxima and one minima

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT SOLUTIONS FOR CLASS 12

MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers

MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers Set-A

Application of Derivatives Class 12 Maths MCQs Questions with Answers

Class 12 Maths Chapter 6 Quiz

Class 12 Maths Chapter 6 MCQ Online Test

Application of Derivatives Class 12 Maths MCQ online test

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

NCERT Solution of Maths Class 12 Chapter 2

NCERT Solution of Maths Class 12 Chapter 3

NCERT Solution of Maths Class 12 Chapter 4

NCERT Solution of Maths Class 12 Chapter 5

NCERT Solution of Maths Class 12 Chapter 6

NCERT Solution of Maths Class 12 Chapter 7

NCERT Solution of Maths Class 12 Chapter 8

NCERT Solution of Maths Class 12 Chapter 9

NCERT Solution of Maths Class 12 Chapter 10

NCERT Solution of Maths Class 12 Chapter 11

NCERT Solution of Maths Class 12 Chapter 12

NCERT Solution of Maths Class 12 Chapter 13

MCQ QUESTIONS WITH ANSWER

NCERT SOLUTIONS FOR CLASS 12

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