The subnormal to the curve y=a^x at any point varies directly as

If the tangent at the point (at², at³) on the curve ay²=x³ meets the curve again at Q, then Q=

The angle between the curves y²=x, x²=y at (1, 1) is

The function f(x)=√9-x² is increasing in

The point on y=x²+7x+2 which is closest to the line y=3x-3 is

The two curves 2x²+y²=20, x²-4y²+8=0

The equation of the tangent to the  curve y²=4x+5 and which is parallel to0 y=2x+7 is

The equation of the tangent to the curve y²=4ax at (at², 2at) is

The function tan^-1(sin x) increases in

If f(x) =2x²+3x-5, x=3, δx=0.02, then  δf=