Tangents to the hyperbola `x^2/a^2-y^2/b^2=1` make angle `theta_1,theta_2` with transverse axis of a hyperbola. Show that the point of intersection of these tangents lieson the curve `2xy=k(x^2-a^2)` when `tantheta_1+tan theta_2=k`

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

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

Two tangents to the hyperbola x^2/a^2-y^2/b^2=1 make angles theta_1,theta_2 , with the transverse axis. Find the locus of their point of intersection if tantheta_1+tantheta_2=k .

Tangents to the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 makes angles theta_(1), theta_(2) with the transverse axis. If theta_(1), theta_(2) are complementary then the locus of the point of intersection of tangents is

Tangents to the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 make angle theta_1 , theta _2 with the transverse axis .if theta_1 , theta _2 are complementary then the locus of the point of intcrsection of the tangents is

Tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2)= 1 make angle theta_1 , theta _2 with the transverse axis. The equations o the locus of their intersection when tan (theta_1+theta_2 )=k is

Tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the transverse axis. Find the locus of the their point of intersection if tan alpha + tan beta = k

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 to x^(2) //a^(2) -y^(2)//b^(2) =1 make angles theta_1 ,theta _2 with transverse axis . The equation of the locus of their intersection when cot theta _1 +cot theta _2 = k 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