If a tangent to the parabola `y^(2)=4ax` meets the axis of the parabola in T and the tangent at the vertex A in Y, and the rectangle TAYG is completed, show that the locus of G is `Y^(2)+ax=0`.

If a tangent to the parabola y^(2)=4ax meets the x -axis at T and intersects the tangents at vertex A at P, and rectangle TAPQ is completed,then find the locus of point Q.

Equation of tangent to parabola y^(2)=4ax

If the tangents to the parabola y^(2)=4ax make complementary angles with the axis of the parabola then t_(1),t_(2)=

If the line px+qy=1 is a tangent to the parabola y^(2)=4ax. then

The tangent and normal at P(t), for all real positive t, to the parabola y^(2)=4ax meet the axis of the parabola in T and G respectively, then the angle at which the tangent at P to the parabola is inclined to the tangent at P to the circle passing through the points P, Tand G is

A tangent to the parabola y^(2)+4bx=0 meet, the parabola y^(2)=4ax in P and Q.Then t locus of midpoint of PQ is.

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

A tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is