The slope of the tangent to the curve y = 16 - x2 at x = 0 is
0
-2
2
16
A wire of length 'a' is cut in to two parts which are bent respectively in the form of square and a circle. The least value of the sum of the areas so formed is
The tangent to the parabola x2 = 2 y at the point makes with x - axis at an angle
0o
45o
30o
60o
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
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
Tangents to curve y = x3 at x = -1 and x = 1 are
Parallel
Intersecting obliquely
Perpendicular to each other
None of these
The min intercept made by the axis on the tangent to the ellipse is
2a + b
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 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 )
A stone is thrown vertically upwards from the top of a tower 64 metres high according to the law s = 48t - 16t2.The greatest height above the ground is
64 metres
36 metres
100 metres
