Applications of Derivatives  MCQs

MCQs of Applications of Derivatives

Showing 41 to 50 out of 266 Questions
2 3 4 5 6 7
41.
The rate of change of volume of a cylinder w.r.t. radius whose radius is equal to its height is _____.
(a) 4 (area of base)
(b) 3 (area of base)
(c) 2 (area of base)
(d) (area of base)
Answer:

Option (b)

42.
f(x)=tan-1x-x is_____.
(a) increasing on R
(b) decreasing on R
(c) increasing on R+
(d) increasing on (-∞, 0)
Answer:

Option (b)

43.
f(x)=tanx-x, x∈R-2k-1π2k∈Z is_____
(a) increasing on its domain
(b) decreasing on its domain
(c) increasing on 0, π2
(d) decreasing on 0, π2
Answer:

Option (a)

44.
f(x)=2x-tan-1x-log x+1+x2 is______.(x∈R).
(a) increasin on R
(b) decreasing on R
(c) has a minimum at x = 1
(d) has a maximum at x = 1
Answer:

Option (a)

45.
If_____, thenf(x)=x2-kx+20 is strictly increasing on [0, 3].
(a) k < 0
(b) 0 < k < 1
(c) 1 < k < 2
(d) 2 < k < 3
Answer:

Option (a)

46.
f(x)=x-1+x-2 is increasing if_____.
(a) x > 2
(b) x < 1
(c) x < 0
(d) x < -2
Answer:

Option (a)

47.
Normal to 9y2=x3 at _____ make equal intercepts on axes.
(a) -4, -83
(b) 4, ±83
(c) ±4, 83
(d) 8, 83
Answer:

Option (b)

48.
y=mx+4 touches y2=8x, if m=_____
(a) 12
(b) -12
(c) 2
(d) -2
Answer:

Option (a)

49.
The normal to x2=4y passing thorugh (1, 2) has equatoin_____.
(a) 2x = y
(b) x + y - 3 = 0
(c) 2x + 3y - 8 = 0
(d) x - y + 1 = 0
Answer:

Option (b)

50.
The local minimum value of x2+16x(x≠0) is_____.
(a) 12
(b) 22
(c) -12
(d) 2
Answer:

Option (a)

Showing 41 to 50 out of 266 Questions
2 3 4 5 6 7