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 _________

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

If three normals are drawn from the point (c, 0) to the parabola y^(2)=4x and two of which are perpendicular, then the value of c is equal to

If two tangents drawn from the point (a,b) to the parabola y^2=4x be such that the slope of one tangent is 3 times of the other then

The number of normals drawn from the point (6, -8) to the parabola y^2 - 12y - 4x + 4 = 0 is

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

The number of normals drawn to the parabola y^(2)=4x from the point (1,0) 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

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

Tangents are drawn at the end points of a normal chord of the parabola y^(2)=4ax . The locus of their point of intersection is