A. Touch each other
B. Cut orthogonally
C. Cut at an angle of 450
D. None
The distance between the origin and the normal to the curve y=e2x+x2 at x=0 is
The angle between the curves x2=4y, x2+y2=5 at (-2, 1) is
The equation of the tangent to the curve x2+2y=8 and which is perpendicular to x-2y+1=0 is
The condition for f(x)= x3+px2+qx+r(x R) to have no extreme value, is
When a circular oil drop expands on water, its area increases at the uniform rate of 40sq. cm per minute. The rate of increase in the radius when the radius 5 cm is
The two curves x2+y2=25, 2x2-9y+18=0
The minimum value of x3-9x2+24x-12 is
The maximum value of x2-x+1/ x2+x+1 is
If y=x3-ax2+12x+5 is increasing for all real values of x, then a lies between
Two tangents are drawn from the point (-2, -1) to the parabola y2 = 4x. If α is the angle between those tangents then tan α =