If P, Q, R are three points on a parabola `y^2=4ax` whose ordinates are in geometrical progression, then the tangents at P and R meet on :

On the parabola y^2 = 4ax , three points E, F, G are taken so that their ordinates are in geometrical progression. Prove that the tangents at E and G intersect on the ordinate passing through F .

On the parabola y^2 = 4ax , three points E, F, G are taken so that their ordinates are in geometrical progression. Prove that the tangents at E and G intersect on the ordinate passing through F .

If P(at_(1)^(2), 2at_(1))" and Q(at_(2)^(2), 2at_(2)) are two points on the parabola at y^(2)=4ax , then that area of the triangle formed by the tangents at P and Q and the chord PQ, is

Let P , Q and R are three co-normal points on the parabola y^2=4ax . Then the correct statement(s) is /at

If y_(1),y_(2) are the ordinates of two points P and Q on the parabola and y_(3) is the ordinate of the intersection of tangents at P and Q, then

Find the point P on the parabola y^2 = 4ax such that area bounded by the parabola, the x-axis and the tangent at P is equal to that of bounded by the parabola, the x-axis and the normal at P.

If focal distance of a point P on the parabola y^(2)=4ax whose abscissa is 5 10, then find the value of a.

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

if P is a point on parabola y^2=4ax such that subtangents and subnormals at P are equal, then the coordinates of P are:

If the normals at two points P and Q of a parabola y^2 = 4ax intersect at a third point R on the curve, then the product of ordinates of P and Q is