MCQs of Applications of Derivatives

Showing 151 to 160 out of 266 Questions

151.

If a normal to a curve is parallel to X-axis then _____

152.

At a point _____ the tangent to the curve y - e^xy + x = 0 is a vertical line.

153.

f(x) = sinx + cos2x (x > 0) is minimum then _____

154.

f(x) = (3 - x)e^2x - 4xe^x - 1 then _____ .

(a)	f(x) has maximum value at x = 0
(b)	f(x) has minimum value at x = 0
(c)	f(x) has not maximum or minimum value for x = 0
(d)	f(x) is not differentiable at x = 0

155.

x = -1 and x = 2 are the points of inflexion of the curve y = a log x + bx² + x then _____

156.

For x = _____ the curve 2x³ - 3x² - 12x + 5, -2 ≤ x ≤ 4 has its maximum value.

157.

If A > 0, B > 0 and A + B =

\frac{π}{3}

then maximum value of tan A . tan B is _____

158.

For x = 0 if equation of the normal to the curve y = f(x) is 3x - y + 3 = 0 then

\lim_{x \to 0} \frac{x^{2}}{f (x^{2}) - 5 f (4 x^{2}) + 4 f (7 x^{2})}

has the value _____

159.

Equation of the tangent to the curve y = 1 -

e^{\frac{x}{2}}

at a point of intersection of the curve and the Y-axis is _____

160.

Area of a triangle formed by the tangent to a circle x² + y² = 4 at (1,

\sqrt{3}

), normal to the circle and positive X-axis is _____

Showing 151 to 160 out of 266 Questions