If the percentage increase in the edge of cube is k, then percentage increase in the volume is
k
2k
3k
k3
A man is walking at the rate of 8 kmph towards the foot of a tower 60 metres high.The rate at which he is approaching the top when he is 80 metres from the foot of the tower is.
6.4 kmph
32/3 kmph
6 kmph
None of these
A stone is thrown vertically upwards from the top of tower 64 metres high according to the law s = 48t - 16t2.The greatest height above the ground is
64 metres
36 metres
100 metres
The coordinates of the point of the curve y = x2 + 3x + 4 the tangent at which passes through the origin are:
( 2, 14 ), ( -2, 2 )
( 2, 14 ), ( -2, -2 )
( 2, 14 ), ( 2, 2 )
A stone is thrown vertically up and the height s reaches in time t is given by s = 80t - 16t2.The stone reaches the maximum height in time t =
2
2.5
3
3.5
If y = a log | x | + bx2 + x has its extreme value at x = -1 and x = 2 then:
a = 2, b = -1
a = 2, b = -1/2
a = -2, b = 1/2
The dimension of the rectangle of perimeter 36 cm. Which will Sweep out a volume as large as possible when revolved about one of its sides, are
10, 8
11, 7
12, 6
If u = x2y + y2z + z2x then ux + uy + uz =
x + y + z
3(x2y + y2z + z2x)
(x + y + z)2
The tangent to the parabola x2 = 2 y at the point makes with x - axis at an angle
0o
45o
30o
60o
The equation of the tangent to the curve y = 2 x2 - 3x - 1 at the point (1,-2) is
x - y - 3 = 0
x - y + 3 = 0
x + y - 3 = 0
x + y + 3 = 0
