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 _________

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

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

If two tangents drawn from a point p to the parabola y^(2)=4x are at right angles then the locus of p 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_1m_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 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_1m_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