If a particle moving along a line follows the law then the acceleration is proportional to
Square of the velocity
Cube of the displacement
Cube of the velocity
Constant
None of these
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
For the curve y = xex , the point
x = -1 is a point of minima
x = 0 is a point of minima
x = -1 is a point of maxima
x = 0 is a point of maxima
The side of a cube is equal to the diameter of a sphere.If the side and radius increase at the same rate then the ratio of the increase of their surfaces is
π : 6
2π :3
3 : 2π
3 : π
The point on the curve y = x2 - 2x + 3 where the tangent is parallel to x axis is
( 1, 2 )
( 1, 3 )
( 3, 1 )
( 2, 1 )
The length of the subnormal to the parabola y2 = 4dx at any point is equal to:
√2 a
2√2 a
a/√2
2a
If the percentage increase in the edge of cube is k,then percentage increase in the volume is
k
2k
3k
k3
Divide 20 into two parts such that the product of one part and the cube of the other is maximum then two parts
( 10, 10)
( 12, 8 )
( 15, 5 )
