The condition that the two tangents to the parabola `y^2 = 4ax` become normal to the circle `x^2 + y^2 - 2ax - 2by + c = 0` is given by

Equation of tangent to parabola y^(2)=4ax

The condition that ax + by + c=0 is tangent to the parabola y ^(2) = 4 ax, is --

The set of real value of 'a' for which at least one tangent to the parabola y^(2)=4ax becomes normal to the circle x^(2)+y^(2)-2ax-4ay+3a^(2)=0 is

The common tangent of the parabola y^(2) = 8ax and the circle x^(2) + y^(2) = 2a^(2) is

The condition that the line ax + by + c =0 is a tangent to the parabola y^(2)= 4ax is-

Find the slope of the tangent to the parabola y^2=4ax at (at^2,2at) .

The condition for the line y =mx+c to be normal to the parabola y^(2)=4ax is

The condition for the line y=mx+c to be a normal to the parabola y^(2)=4ax is

If from a point A, two tangents are drawn to parabola y^2 = 4ax are normal to parabola x^2 = 4by , then

Prove that the locus of the poles of tangents to the parabola y^2=4ax with respect to the circle x^2+y^2=2ax is the circle x^2+y^2=ax .