If the tangent to the parabola `y^2=4ax` meets the axis in T and 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 the tangent to the parabola y 2 =4ax meets the axis in T and tangent at the vertex A in Y and the recatngle TAYG is completed, then the locus of G is

If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the tangent at the Vertex A in P and the rectangle TAPQ is completed then locus of Q is

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=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot

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

The common tangent to the parabola y^2=4ax and x^2=4ay is

Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the x-axis at point B and D , respectively. If the rectangle A B C D is completed, then the locus of C is (a)y=2a (b) y+2a=c (c)x=2a (d) none of these

If the tangents at and t_(1) and t_(2) = on y^(2)=4ax meets on its axis then

Tangents are drawn from a variable point P to the parabola y^2 = 4ax such that they form a triangle of constant area c^2 with the tangent at the vertex. Show that the locus of P is x^2 (y^2 - 4ax) = 4c^4a^2 .

the tangent drawn at any point P to the parabola y^2= 4ax meets the directrix at the point K. Then the angle which KP subtends at the focus is