Find the equations of normal to the parabola `y^2=4a x` at the ends of the latus rectum.

The point of intersection of the normals to the parabola y^(2)=4x at the ends of its latus rectum is

If the normals to the parabola y^(2)=4ax at the ends of the latus rectum meet the parabola at Q and Q', then QQ' is (a)10a(b)4a(c)20a(d)12a

The normal to y^(2)=4a(x-a) at the upper end of the latus rectum is

The circle described on the line joining the foci of the hyperbola (x^(2))/(16)-(y^(2))/(9) = 1 as a diameter passes through an end of the latus rectum of the parabola y^(2) = 4ax , the length of the latus rectum of the parabola is

Find the area of the triangle formed by the lines joining the vertex of the parabola y^(2) = 16x to the ends of the latus rectum.

If the normals of the parabola y^(2)=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^(2)+(y+2)^(2)=r^(2) , then the value of r^(4) is equal to

If the normals of the parabola y^(2)=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^(2)(y+2)^(2)=r^(2) then the value of r^(2) is

The triangle formed by the tangents to a parabola y^(2)=4ax at the ends of the latus rectum and the double ordinate through the focus is