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^2theta_1+tan^2theta_2=lambda` (a 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 )

The tangents ot the parabola y^(2) = 4ax from an external point P make angles theta_(1) theta_(2) with the axis of the parabola . Such that tan theta_(1) +tan theta_(2) = b where b is constant . Then P lies on

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 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

The length of a focal chord of the parabola y^2=4ax making an angle theta with the axis of the parabola is (a> 0) is :

Let L_(1),L_(2)andL_(3) be the three normals to the parabola y^(2)=4ax from point P inclined at the angle theta_(1),theta_(2)andtheta_(3) with x-axis, respectively. Then find the locus of point P given that theta_(1)+theta_(2)+theta_(3)=alpha (constant).

Let L_(1),L_(2)andL_(3) be the three normals to the parabola y^(2)=4ax from point P inclined at the angle theta_(1),theta_(2)andtheta_(3) with x-axis, respectively. Then find the locus of point P given that theta_(1)+theta_(2)+theta_(3)=alpha (constant).

Let L_(1),L_(2)andL_(3) be the three normals to the parabola y^(2)=4ax from point P inclined at the angle theta_(1),theta_(2)andtheta_(3) with x-axis, respectively. Then find the locus of point P given that theta_(1)+theta_(2)+theta_(3)=alpha (constant).

Let L_(1),L_(2)andL_(3) be the three normals to the parabola y^(2)=4ax from point P inclined at the angle theta_(1),theta_(2)andtheta_(3) with x-axis, respectively. Then find the locus of point P given that theta_(1)+theta_(2)+theta_(3)=alpha (constant).