If a normal of slope `m` to the parabola `y^(2)=4ax` touches the hyperbola `x^(2)-y^(2)=a^(2)`, then

If a normal of slope m to the parabola y^2 = 4 a x touches the hyperbola x^2 - y^2 = a^2 , then

The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

Locus of P such that the chord of contact of P with respect to y^2= 4ax touches the hyperbola x^(2)-y^(2) = a^(2) as

Find the equation of line which is normal to the parabola x^(2)=4y and touches the parabola y^(2)=12x .

The condition that a straight line with slope m will be normal to parabola y^(2)=4ax as well as a tangent to rectangular hyperbola x^(2)-y^(2)=a^(2) is

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

Locus of P such that the chord of contact of P with respect to y^2=4ax touches the hyperbola x^2-y^2=a^2

Prove that the locus of point of intersection of two perpendicular normals to the parabola y^(2) = 4ax isl the parabola y^(2) = a(x-3a)

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is