From an external point `P ,` a pair of tangents is drawn to the parabola `y^2=4xdot` If `theta_1a n dtheta_2` are the inclinations of these tangents with the x-axis such that `theta_1+theta_2=pi/4` , then find the locus of `Pdot`

From an external point P , a pair of tangents is drawn to the parabola y^2=4xdot If theta_1 and theta_2 are the inclinations of these tangents with the x-axis such that theta_1+theta_2=pi/4 , then find the locus of Pdot

From an external point P, a pair of tangents is drawn to the parabola y^(2)=4x. If theta_(1) and theta_(2) are the inclinations of these tangents with the x-axis such that theta_(1)+theta_(2)=(pi)/(4), then find the locus of P.

Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4x .If theta is the angle between these tangents,then the value of tan theta is

From an external point P, tangent arc drawn to the the parabola y^(2) = 4ax and these tangents make angles theta_(1), theta_(2) with its axis, such that tan theta_(1) + tan theta_(2) is a constant b. Then show that P lies on the line y = bx.

From an external point P tangents are drawn to the parabola y(2)=4ax and these tangents make angles theta_(1),theta_(2) with its axis such that cot theta_(1)+cot theta_(2) is a constant 'a' show that P lies on a horizontal line.

Find the angle between the tangents drawn from (1, 3) to the parabola y^2=4xdot

Find the angle between the tangents drawn from (1, 3) to the parabola y^2=4xdot

Find the angle between the tangents drawn from (1, 3) to the parabola y^2=4xdot

From an external point P, tangents are drawn to the parabola. Find the equation of the locus of P when these tangents make angles theta_(1)andtheta_(2) with the axis of the parabola such that costheta_(1)costheta_(2)=mu , where mu is a constant.