A double ordinate of the curve `y^(2)=4ax` is of lengh 8a. Prove that the line from the vertex its ends are at right angles.

For the parabola y^2=4p x find the extremities of a double ordinate of length 8pdot Prove that the lines from the vertex to its extremities are at right angles.

Length of the double ordinate of the parabola y^(2) = 4x , at a distance of 16 units from its vertex is

PQ is a double ordinate of the parabola y^2 = 4ax . If the normal at P intersect the line passing through Q and parallel to axis of x at G, then locus of G is a parabola with -

Length of the focal chord of the parabola y^2=4ax at a distance p from the vertex is:

A normal chord of the parabola y^2=4ax subtends a right angle at the vertex if its slope is

If a normal chord at a point on the parabola y^(2)=4ax subtends a right angle at the vertex, then t equals

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

Prove that the tangents to the curve y=x^2-5x+6 at the points (2, 0) and (3, 0) are at right angles.

Find the equation of the normal to the parabola y^2 = 4ax such that the chord intercepted upon it by the curve subtends a right angle at the verted.

If the ordinate of a point on the parabola y^(2)=4ax is twice the latus rectum, prove that the abscissa of this point is twice the ordinate.