On the intervals [0, 1 ] the function x25 ( 1 - x ) 75 takes its maximum value at the point:
1/4
1/2
The normal at the point ( 1, 1 ) to the curve 2y =3 -x2 is:
x + y = 0
x + y + 1 = 0
x - y + 1 = 0
If a particle moving along a line follows the law t = as2 + bs + c , then the retardation of the particle is proportional to
Square of the velocity
Cube of the displacement
Cube of the velocity
Square of the displacement
If the rate of change of area of a circle is equal to the rate of change of its diameter,then its radius =
2/π
1/π
π/2
π
Minimum value of f(x) = Sinx in -π/2≤x≤π/2 is
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 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
The displacement s of a particle at time 't' is given by s = a cos ωt + b sin ωt.Acceleration at time 't' is.
ω2s
s2/ω2
ω2
-ω2s
