Tangents to the ellipse x^2/a^2+y^2/b^2=1 make angles theta1 and theta2 with the major axis of the ellipse such that tan(theta1+theta2)=k, constant. the locus of the point of intersection of the tangents is (x^2-a^2)- (y^2-b^2)=

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

If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles alphaa n dbeta with the major axis such that tanalpha+tanbeta=gamma, then the locus of their point of intersection is x^2+y^2=a^2 (b) x^2+y^2=b^2 x^2-a^2=2lambdax y (d) lambda(x^2-a^2)=2x y

If the tangents to the ellipse a 2 x 2 ​ + b 2 y 2 ​ =1 make angles α and β with the major axis such that tanα+tanβ=λ, then the locus of their point of intersection is

The locus of the point of intersection of the perpendicular tangents to the ellipse 2x^(2)+3y^(2)=6 is

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

The locus of the point of intersection of two prependicular tangents of the ellipse x^(2)/9+y^(2)/4=1 is

The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an angle 30^(@) with the major axis 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

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) .

tangents are drawn to x^2+y^2=a^2 at the points A(acos theta, a sin theta) and B(a cos (theta +pi/3), a sin (theta +pi/3)) Locus of intersection of these tangents is