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 (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 (a) x^2+y^2=a^2 (b) x^2+y^2=b^2 (c) x^2-a^2=2lambdax y (d) lambda(x^2-a^2)=2x y

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 (a) x^2+y^2=a^2 (b) x^2+y^2=b^2 (c) x^2-a^2=2lambdax y (d) lambda(x^2-a^2)=2x y

If the tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 make angles alpha and beta with the major axis such that tan alpha+tan beta=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)=2 lambda xy(d)lambda(x^(2)-a^(2))=2xy

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 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 condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 is

If the tangents drawn from a point on the hyperbola x^(2)-y^(2)=a^(2)-b^(2) to ellipse (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angle alpha and beta with the transverse axis of the hyperbola, then

If the tangents drawn from a point on the hyperbola x^(2)-y^(2)=a^(2)-b^(2) to ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 make angle alpha and beta with the transverse axis of the hyperbola, then

Tangents,one to each of the ellipses (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and (x^(2))/(a^(2)+lambda)+(y^(2))/(b^(2)+lambda)=1 are drawn Tangents,If the tangents meet at right angles then the locus of their point of intersection is

Find the equation of the tangent to the ellipse (x^2)/a^2+(y^2)/(b^2) = 1 at (x_1y_1)