Two tangents to the parabola `y^2 = 4ax` make angles `theta_1,theta_2` with the x-axis. Then the locus of their point of intersection if ` cot theta_1 + cot theta_2=c` is

Two tangents to the parabola y^(2)=4ax make supplementary angles with the x-axis.Then the locus of their point of intersection is

Two tangents to parabola y ^(2 ) = 4ax make angles theta and phi with the x-axis. Then find the locus of their point of intersection if sin (theta - phi) =2 cos theta cos phi.

The tangent to y^(2)=ax make angles theta_(1)andtheta_(2) with the x-axis. If costheta_(1)costheta_(2)=lamda , then the locus of their point of intersection is

Tangents drawn from point P to the circle x^(2)+y^(2)=16 make the angles theta_(1) and theta_(2) with positive x-axis. Find the locus of point P such that (tan theta_(1)-tan theta_(2))=c ( constant) .

If two tangents to the parabola y^(2)=4ax from a point P make angles theta_(1) and theta_(2) with the axis of the parabola,then find the locus of P in each of the following cases.tan^(2)theta_(1)+tan^(2)theta_(2)=lambda( a constant )

Tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angle theta_(1),theta_(2) with transverse axis of a hyperbola.Show that the point of intersection of these tangents lieson the curve 2xy=k(x^(2)-a^(2)) when tan theta_(1)+tan theta_(2)=k

Two tangents drawn on parabola y^(2)=4ax are making angle alpha_ _(1)and alpha_(2), with y -axis and if alpha_(1)+alpha_(2)=2 beta then locus of the point of intersection of these tangent is

cosec^2 theta - cot^2 theta = 1 +…..

A tangent is drawn to parabola y^(2)=8x which makes angle theta with positive direction of x-axis. The equation of tangent is (A) y=x tan theta+2cot theta(B)y cot theta=x-2tan theta (C) y cot theta=x+2tan theta(D)y cot theta=x-tan theta

The locus of the point (cot theta+cos theta,cot theta-cos theta) where 0<=theta<2 pi is