The function f(x) = is
differentiable at both x = 2 and x = 0
differentiable at x = 2 but not at x = 0
continuous at x = 2 but not at x = 0
continuous at both x = 2and x = 0
A wire of length 20 cm is bent in the form of a sector of a circle. The maximum area that can be enclosed by the wire is
20 sq cm
25 sq cm
10 sq cm
30 sq cm
The condition for the line y = mx + c to be a normal to the parabola y2 = 4ax is
c = - 2am - am3
c = 2am + am3
P is the point of contact of the tangent form the origin to the curve y = loge(x). The length of the perpendicular drawn form the origin to the normal at P is
For the curve 4x5 = 5y4, the ratio of the cube of the subtangent at a point on the curve the square of the subnormal at the same point is
The set of real values of x for which f(x) = is increasing is
empty
{x : x < e}
{1}
A.
A space vector makes the angles 150° and 60° with the positive direction of x-and y-axes. The angle made by the vector with the positive direction z-axis is
90°
60°
180°
120°