Double ordinate `A B` of the parabola `y^2=4a x` subtends an angle `pi/2` at the vertex of the parabola. Then the tangents drawn to the parabola at `A .and B` will intersect at (a) `(-4a ,0)` (b) `(-2a ,0)` `(-3a ,0)` (d) none of these

Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at the focus of the parabola. Then the tangents drawn to the parabola at Aa n dB will intersect at (a) (-4a ,0) (b) (-2a ,0) (-3a ,0) (d) none of these

The vertex of the parabola y^(2)+4x-2y+3=0 is

The vertex of the parabola y^(2) =(a-b)(x -a) is

Prove that the tangents drawn on the parabola y^(2)=4ax at points x = a intersect at right angle.

Find the length of normal chord which subtends an angle of 90^0 at the vertex of the parabola y^2=4xdot

Find the length of normal chord which subtends an angle of 90^0 at the vertex of the parabola y^2=4xdot

The length or double ordinate of parabola , y^(2) = 8x which subtends an angle 60^(@) at vertex is

Statement 1: Normal chord drawn at the point (8, 8) of the parabola y^2=8x subtends a right angle at the vertex of the parabola. Statement 2: Every chord of the parabola y^2=4a x passing through the point (4a ,0) subtends a right angle at the vertex of the parabola.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.