From a point T a tangent is drawn and it touches the parabola `y^(2)=16x` at P=(16,16) .If S be the focus of the parabola and `/_TPS=theta` such that `tan theta=1/k` then k=

From a point T a tangent is drawn to touch the parabola y^(2)=16x at P(16 ,16) .If S is the focus of the parabola and /_TPS=cot^(-1)k .then k is equal to - - - -

Equation of tangent to the parabola y^(2)=16x at P(3,6) is

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

The focus of the parabola x ^(2) =-16 y is

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 :

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.