The tangents to `x^2+y^2=a^2` having inclinations `alpha` and `beta` intersect at `Pdot` If `cotalpha+cotbeta=0` , then find the locus of `Pdot`

The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta intersect at P. If cot alpha+cot beta=0, then find the locus of P.

The tangents to x^2+y^2=a^2 having inclinations alpha and beta intersect at P. If cot alpha + cot beta = 0 , then the locus of P is :

The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta intersect at P. If cot alpha+cot beta=0 , then the locus of P is

The tangents to x^(2)+y^(2)=r^(2) having inclinations theta_(1),theta_(2) intersect at P .If tan theta_(1)-tan theta_(2)=1 locus of P is

If the tangents to ellipse x^2/a^2 + y^2/b^2 = 1 makes angle alpha and beta with major axis such that tan alpha + tan beta = lambda then locus of their point of intersection is

Answer the following:Tangents to the circle x^2+y^2=a^2 with inclinations, theta_1 and theta_2 intersect in P.Find the locus of point P such that tantheta_1+tantheta_2=0

If 2sec2alpha=tanbeta+cotbeta , then one of the values of alpha+beta is

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_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