If the normal at points `(p_(1),q_(1))` and `(p_(2),q_(2))` on the parabola `y^(2)=4ax` intersect at the parabola,then the value of `q_(1).q_(2)` is

If the normals at the points (x_(1),y_(1)),(x_(2),y_(2)) on the parabola y^(2)=4ax intersect on the parabola then

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

Normals are drawn at points P, Q are R lying on the parabola y^(2)=4x which intersect at (3, 0), then

P(t_(1)) and Q(t_(2)) are the point t_(1) and t_(2) on the parabola y^(2)=4ax. The normals at P and Q meet on the parabola.Show that the middle point PQ lies on the parabola y^(2)=2a(x+2a)

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 (A)4a^(2) (B) 2a^(2)(C)-4a^(2)(D)8a^(2)

The normal at a point P (36,36) on the parabola y^(2)=36x meets the parabola again at a point Q. Find the coordinates of Q.

P(t_(1))andQ(t_(2)) are points t_(1)andt_(2) on the parabola y^(2)=4ax . The normals at P and Q meet on the parabola. Show that the middle point of PQ lies on the parabola y^(2)=2a(x+2a) .

If tangent at P and Q to the parabola y^(2)=4ax intersect at R then prove that mid point the parabola,where M is the mid point of P and Q.