f (x ) = √3 sin x + 3 cos x is max at x =
π/3
π/2
π/6
2π/3
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 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 curve y = x3 + x + 1, 2y = x3 + 5x at ( 1, 3 ) are:
Touching each other
Intersecting orthogonally
Not intersecting
None of these
If y = 4x - 5 is tangent to the curve y2 = px3 + q at ( 2, 3 ) then
p = 2, q = -7
p = -2, q = 7
p = -2, q = -7
p = 2, q = 7
f ( x ) = 1 + 2 sin x + 2 cos 2 x, 0 ≤ x ≤ π/2 is maximum and minimum respectively at x =
π/6, π/2
π/2, π/6
π/3, π/3
π/3, π/2
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
The tangent of the curve y = x2 + 3x will pass through the point ( 0, -9 ) if it is drawn at the point.
( -3, 0 )
( -4, 4 )
If a particle moves according to the law s = t3/3 - 3t2 + 8t then the distance covered before it first comes to rest is
16/3
8
10/3
20/3
