MCQs of Applications of Derivatives

Applications of Derivatives MCQs

MCQs of Applications of Derivatives

Showing 81 to 90 out of 266 Questions

81.

The point of curve

y = a (e^{\frac{x}{a}} + e^{- \frac{x}{a}})

at which the tangent drawn is parallel to X-axis, then x - co-ordinate of that point is _____

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

82.

Equation of tangent at t =2 of curve

x = \frac{t - 1}{t + 1}, y = \frac{t + 1}{t - 1}

is ______

(a)	x+ 9y -6 = 0
(b)	9x - y - 6 = 0
(c)	9x + y + 6 = 0
(d)	9x + y - 6 = 0

83.

The tangent parallel to X - axis of curve

y = \frac{1}{x^{2} + 2 x + 5}

is _____

(a)	$y = \frac{1}{4}$
(b)	y = 4
(c)	$y = \frac{1}{2}$
(d)	y = 0

84.

The normal at (0, 1) of

y = e^{2 x} + x^{2}

makes triangle with both the axis, area of that triangle is _____ sq.units.

(a)	0
(b)	1
(c)	$\frac{1}{2}$
(d)	2

85.

If curve x² = 9a(9 - y) and x² = a(y + 1) are perpendicular to each other then, a = _____

(a)	3
(b)	4
(c)	5
(d)	7

86.

Curve y = 2x³ + ax² + bx + c passes through origin and tangent at x = -1 and x = 2 are parallel to X - axis, then value of a,b and c are respectively_____

(a)	12, -3, 0
(b)	-3, -12, 0
(c)	-3, 12, 0
(d)	3, -12, 0

87.

The equation of tangent to curve at point where curve

y = b e^{- \frac{x}{a}}

intersects y - axis is _____

(a)	$\frac{x}{a} - \frac{y}{b} = 1$
(b)	$a x + b y = 1$
(c)	$a x - b y = 1$
(d)	$\frac{x}{a} + \frac{y}{b} = 1$

88.

Approximate value of is

e^{1.005}

_____(e = 2.7183)

(a)	2.7318915
(b)	2.7317915
(c)	2.7316915
(d)	2.7315915

89.

If 1° = 0.0175 and cos30° = 0.8660 , then approximate value of cos(29°30') is _____

(a)	0.870365
(b)	0.870375
(c)	0.870385
(d)	0.870355

90.

Approximate value of is tan^-1(0.999) _____ where π = 3.14

(a)	0.7855
(b)	0.7845
(c)	0.7835
(d)	0.7825

Showing 81 to 90 out of 266 Questions