Find the locus of the point from which the two tangents drawn to the parabola `y^2=4a x` are such that the slope of one is thrice that of the other.

Find the locus of point P, if two tangents are drawn from it to the parabola y ^(2) = 4x such that the slope of one tangent is three times the slope of other.

If two tangents drawn from the point (a,b) to the parabola y^2=4x be such that the slope of one tangent is 3 times of the other then

The locus of the point such that normals drawn at the point of contact of the tangents drawn from the point to the parabola, are such that the slope of one is double the slope of the other is : (A) y^2 = 9/2 ax (B) x^2 = 4ay (C) y^2 = 9/4 ax (D) x^2 = 9/4 ay

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

From a point P, two tangents are drawn to the parabola y^(2) = 4ax . If the slope of one tagents is twice the slope of other, the locus of P is

The locus of the point of intersection of the perpendicular tangents to the parabola x^2=4ay is .

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make complementary angles with the axis of the parabola is

The locus of point of intersection of two normals drawn to the parabola y^2 = 4ax which are at right angles is

If two tangents drawn from the point P (h,k) to the parabola y^2=8x are such that the slope of one of the tangent is 3 times the slope of the other , then the locus of point P is

If two tangents drawn from the point (alpha,beta) to the parabola y^2=4x are such that the slope of one tangent is double of the other, then prove that alpha=2/9beta^2dot