MCQs of Applications of Derivatives

Applications of Derivatives MCQs

MCQs of Applications of Derivatives

Showing 91 to 100 out of 266 Questions

91.

Approximate value of is

(3.968)^{\frac{3}{2}}

_____

(a)	7.904
(b)	7.804
(c)	7.914
(d)	7.814

92.

By measuring the height of tower from a distance of 200 m , the angle of elevation seemed to be 30°12' . Truly the angle of elevation was 30° Error in measuring height is _____ m

(a)	$\frac{4 π}{27}$
(b)	$\frac{2 π}{27}$
(c)	$\frac{8 π}{27}$
(d)	$\frac{4 π}{135}$

93.

A plot in shape of equilateral quadrilateral has acute angle of measure 60° , length of side is 9.9, but for ease it is taken as 10 m, then error in area of plot is _____ meter square.

(a)	9.9
(b)	0.99
(c)	$0.99 \times \sqrt{3}$
(d)	$9.9 \times \sqrt{3}$

94.

f (x) = x^{2} e^{- 2 x}, x > 0

, then maximum value of f(x) is _____

(a)	$\frac{1}{e}$
(b)	$\frac{1}{2 e}$
(c)	$\frac{1}{e^{2}}$
(d)	$\frac{4}{e^{4}}$

95.

If for variable x and y , x > 0 and xy = 1 then minimum value of x + y is _____

(a)	2
(b)	3
(c)	4
(d)	0

96.

Which point on curve

x^{2} = 2 y

is nearest to A(0, 5) ?

(a)	$(2 \sqrt{2}, 0)$
(b)	(0, 0)
(c)	(2, 2)
(d)	none of these

97.

Minimum value of

f (x) = |3 - x| + 7

is _____

(a)	5
(b)	6
(c)	7
(d)	8

98.

For which value of a ,

f (x) = a \sin x + \frac{1}{3} \sin 3 x

has extreme values at

x = \frac{π}{3}

(a)	1
(b)	-1
(c)	0
(d)	2

99.

Displacement of a partial in time t is x where x = t⁴ - kt³ If at t = 2 velocity of the partial is maximum, then

(a)	k = 4
(b)	k = -4
(c)	k = 8
(d)	k = -8

100.

In [0, 2π] , slope of tangent of

f (x) = e^{x} \sin x

is maximum at x = _____

(a)	$\frac{π}{4}$
(b)	$\frac{π}{2}$
(c)	$π$
(d)	$\frac{3 π}{2}$

Showing 91 to 100 out of 266 Questions