- The sides of an equilateral triangle
are increasing at the rate of 2cm/s. The
rate at which the area increases, when
the side is 10cm, is:
(a) √ sq cm/s (b) 10 sq cm/s (c)
10 √ sq cm/s (d) √^ sq cm/s
- The point on the curve √ +√ = √ at
which the normal is parallel to the x-
axis, is:
(a) (0, 0) (b) (0, a) (c) (a, 0) (d) (a, a) - The maximum value of^ is equal
to:
(a)^ (b)^ (c) e (d) 1
- In which one of the following
intervals, the function - 5x+6 is
decreasing?
(a) (- , 2) (b) [3, - (c) (- ) (d)
(2, 3) - A wire of length 20 cm is to be bent
into a rectangle. For the area of
rectangle to be largest:
(a) one side of rectangle should be
twice the other (b) one side should be
2.5 times the other (c) one side should
be 1.5 times the other (d) the two sides
should be equal - The function f(x)= - 2x is strictly
increasing in the interval:
(a) (-2, -1) (b) (-1, 0) (c) (0, 1) (d) (1,
- The rate of change of the volume of
a sphere with respect to its surface
area, when the radius is 2cm is:
(a) 1 (b) 2 (c) 3 (d) 4
14. With a given surface area, the
volume of a right circular cylinder will
be maximum, if height is:
(a) equal to the diameter of the base
(b) equal to the radius of the base (c)
three times the radius (d) 3/2 times
the radius
15. If x is real, the minimum value of- 8x+17 is:
(a) -1 (b) 0 (c) 1 (d) 2
- y= 4x-5 is a tangent to the curve
+q at (2, 3). Which one of the
following is correct?
(a) p= -2, q= 7 (b) p= -2, q= -7 (c) p= 2,
q= 7
(d) p= 2, q= - 7 - Each side of an equilateral triangle
expands at the rate of 2 cm/s. What is
the rate of increase of area of the
triangle when each side is 10 cm?
(a) 10√ /s (b) 10√ /s (c) 10
/s
(d) 5√ /s - y= a In x+b +x has its extremum
value at x= -1 and x= 2. What are the
values of a and b?
(a) a= 2, b= -1 (b) a= 2, b= - (c) a= -2,
b=^
(d) a=^ , b= -
- 8x+17 is: