The ordinates of points P and Q on the parabola `y^2=12x` are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

The ordinates of points P and Q on the parabola y^2 = 12x are in the ratio 1 : 2. Find the locus of the point of intersection of the normals to the parabola at P and Q.

Let the ordinates of points P and Q on the parabola y^2 = 12x be in the ratio 1:3 and (alpha, beta) be the point of intersection of normals to parabola at P and Q , then (12^2(alpha-6)^3/(beta^2)=

If y_(1) and y_(2) are the ordinates of two points P and Q on the parabola y^(2)=4 a x and y_(3) is the ordinate of the point of intersection of the tangents at P and Q then, y_(1), y_(3) and y_(2) are in

If the normals drawn at the end points of a variable chord PQ of the parabola y^2 = 4ax intersect at parabola, then the locus of the point of intersection of the tangent drawn at the points P and Q is

The focal distance of a point P on the parabola y^(2)=12x if the ordinate of P is 6, is

The focal distance of a point P on the parabola y^(2)=12x if the ordinate of P is 6, is