Normals are drawn from the interior point P to the parabola `y^(2)=4x` such that product of two slope is `alpha`, if locus of P is parabola itself then `alpha` is _________

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 ________

Normals are drawn from a point P with slopes m_(1),m_(2) and m_(3) are drawn from the point p not from the parabola y^(2)=4x. For m_(1)m_(2)=alpha, if the locus of the point P is a part of the parabola itself,then the value of alpha is (a) 1(b)-2 (c) 2 (d) -1

Normals are drawn at points P, Q are R lying on the parabola y^(2)=4x which intersect at (3, 0), then

Perpendicular tangents are drawn from an external point P to the parabola y^2=16(x-3) Then the locus of point P is

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

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 :