Applications of Derivatives  MCQs

MCQs of Applications of Derivatives

Showing 1 to 10 out of 266 Questions
1.
The distance s moved by a particle in time t is given by s=t3-6t2+6t+8. When the acceleration is zero, the velocity is_____.
(a) 5 cm/sec
(b) 2 cm/sec
(c) 6 cm/sec
(d) -6 cm/sec
Answer:

Option (d)

2.
The volume of a sphere is increasing at the rate of π cm3/sec. The rate at which the radius is increasing is_____, when the radius is 3cm.
(a) 136 cm/sec
(b) 36 cm/sec
(c) 9 cm/sec
(d) 27 cm/sec
Answer:

Option (a)

3.
There is 4 % error in measuring the period of a simple pendulum. The approximate percentage error in length is_____.(Hint : T= 2πlg)
(a) 4 %
(b) 8 %
(c) 2 %
(d) 6 %
Answer:

Option (b)

4.
Approximate value of (31)15 is _____
(a) 2.01
(b) 2.1
(c) 2.0125
(d) 1.9875
Answer:

Option (d)

5.
The height and radius of a cylinder are equal. An error of 2 % is made in measuring height. The approximate percentage error in volume is_____
(a) 6 %
(b) 4 %
(c) 3 %
(d) 2 %
Answer:

Option (a)

6.
The tangent to (at2, 2at) is perpendicular to X−axis at
(a) (4a, 4a)
(b) (a, 2a)
(c) (0, 0)
(d) (a, -2a)
Answer:

Option (c)

7.
The line y=mx+1 touches y2=4x, if m =_____
(a) 0
(b) 1
(c) -1
(d) 2
Answer:

Option (b)

8.
The equation of normal to x23+y23=a23 at a22,a22is_____
(a) 2x + y =0
(b) y = 1
(c) x = 0
(d) x = y
Answer:

Option (d)

9.
f(x)=xx decreases in_____
(a) (0, e)
(b) 0, 1e
(c) (0, 1)
(d) (0, )
Answer:

Option (b)

10.
f(x) = 2|x-2|+3|x-4| is_____in (2, 4).
(a) decreasing
(b) increasing
(c) constant
(d) cannot be decided
Answer:

Option (a)

Showing 1 to 10 out of 266 Questions