If tangents are drawn to `y^(2)=4aax` from any point P on the parabola `y^(2)=a(x+b),then show that the normals drawn at their point for contact meet on a fixed line.

If tangents are drawn to y^2=4a x from any point P on the parabola y^2=a(x+b), then show that the normals drawn at their point for contact meet on a fixed line.

If three normals are drawn from the point (c, 0) to the parabola y^(2)= x , then-

If two tangents drawn from a point P to the parabola y^2 = 4x are at right angles, then the locus of P is

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at the point-

Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find the length that these tangents will intercept on the line x=2.

The angle between the tangents drawn from the point (1, 4) to the parabola y^(2)=4x is -

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

If normals drawn at three different point on the parabola y^(2)=4ax pass through the point (h,k), then show that hgt2a .

From a point (d, 0) three normals are drawn to the parabola y^(2)=x , then

Tangent is drawn at any point (p ,q) on the parabola y^2=4a xdot Tangents are drawn from any point on this tangant to the circle x^2+y^2=a^2 , such that the chords of contact pass through a fixed point (r , s) . Then p ,q ,r and s can hold the relation (a) r^2q=4p^2s (b) r q^2=4p s^2 (c) r q^2=-4p s^2 (d) r^2q=-4p^2s