The slope of the tangent drawn at a point P on the parabola `y^(2)=16x` is 2 then P=

The line through P , perpendicular to the chord of the tangents drawn from the point P to the parabola y^(2)=16x touches the parabola x^(2)=12y , then the locus of P is 2ax+3y+4a^(2)=0 then a is ________

The slopes of tangents drawn from a point (4,10) to parabola y^(2)=9x are

If the chord of contact of tangents from a point P to the parabola y^(2)=4ax touches the parabola x^(2)=4by, then find the locus of P.

P & Q are the points of contact of the tangents drawn from the point T to the parabola y^(2) = 4ax . If PQ be the normal to the parabola at P, prove that TP is bisected by the directrix.

If two tangents drawn from a point P to the parabola y^(2)=16 (x-3) are at right angles, then the locus of point P is :

Two tangents are drawn from a point (-4, 3) to the parabola y^(2)=16x . If alpha is the angle between them, then the value of cos alpha is