A. 1/3

B. 1/6

C. 2/3

D. -2/3

The curves y=x^{2}-1, y=8x-x^{2}-9 touch each other at the point (2, 3). The equation of the common normal is

If the subnormal of the curve xy^{n}=a^{n+1} is constant, then the value of n is

The equation of tangent to the curve y=x+9/x+5 so that is passes through the origin is

If θ is the angle between the curves y=sin x, y =cosx at x=π/4 then tan θ=

A curve passes through the point (2, 0) and the slope of the tangent at any point is x^{2}-2x for all values of x. The point of maximum or donation the curve is