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 the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then the locus of Pdot is a) a cicle b) a parabola c) a straight line d) none of these

If two tangents drawn from the point (alpha,beta) to the parabola y^2=4x are such that the slope of one tangent is double of the other, then prove that alpha=2/9beta^2dot

The angle between the two tangents drawn from a point p to the circle x^(2)+y^(2)=a^(2) is 120^(@) . Show that the locus of P is the circle x^(2)+y^(2)=(4a^(2))/(3)

The angle between the tangents drawn from the point (1, 4) to the parabola y^(2)=4x 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 the tangent at any point P to the parabola y^(2)=4ax meets the directrix at the point K , then the angle which KP subtends at its focus is-

If two of the three feet of normals drawn from a point to the parabola y^2=4x are (1, 2) and (1,-2), then find the third foot.

Two tangent are drawn from the point (-2,-1) to parabola y^2=4xdot if alpha is the angle between these tangents, then find the value of tanalphadot

Two tangent are drawn from the point (-2,-1) to parabola y^2=4xdot if alpha is the angle between these tangents, then find the value of tanalphadot

From the point (-1, -6) two tangents are drawn to the parabola y^(2)= 4x . Then the angle between the tangents is-