Applications of Derivatives  MCQs

MCQs of Applications of Derivatives

Showing 141 to 150 out of 266 Questions
12 13 14 15 16 17
141.
The minimum value of 27cos2x x 81sin2x is _____
(a) -5
(b) 15
(c) 125
(d) 243
Answer:

Option (d)

142.
When the area of a rectangle with given perimeter becomes the maximum, the ratio of their sides is _____
(a) 2 : 1
(b) 1 : 1
(c) 3 : 2
(d) 4 : 3
Answer:

Option (b)

143.
Diameter of spherical baloon is 322x+1. Rate of increase of its volume w.r.t x is _____
(a) π82x+12
(b) 27π82x+12
(c) 27π82x+1
(d) None of these
Answer:

Option (b)

144.
ay + x2 = 7 and x3 = y intersect each other at right angle then a = _____ .
(a) 1
(b) 6
(c) -6
(d) None of these
Answer:

Option (b)

145.
fx=25-9x2 is decreasing in the interval _____
(a) -53,0
(b) 0,53
(c) -53,53
(d) 53,∞
Answer:

Option (b)

146.
Slope of a normal to xy = 12 at (3, 4) is = _____
(a) 16
(b) -43
(c) 34
(d) 83
Answer:

Option (c)

147.
xy + 3x = 1 and y2 + x + 5y + 5 = 0 are _____ at (1, -2).
(a) orthogonal
(b) parallel
(c) intersecting at angle of 45°
(d) touching each other
Answer:

Option (d)

148.
Slope of a tangent to a curve x = t2 + 3t - 8, y = 2t2 - 2t - 5 at (2, -1) is _____
(a) 227
(b) 67
(c) -6
(d) 6
Answer:

Option (b)

149.
A tangent to a curve y = 2x2 - x + 1 at the point _____ is parallel to a line y = 3x + 9.
(a) (3, 9)
(b) (2, -1)
(c) (2, 1)
(d) (1, 2)
Answer:

Option (d)

150.
At the point _____ the tangent to a curve x2 + y2 - 2x - 3 = 0 is parallel to X-axis.
(a) (2, ±3)
(b) (1, ±2)
(c) (±1, 2)
(d) (±3, 0)
Answer:

Option (b)

Showing 141 to 150 out of 266 Questions
12 13 14 15 16 17