Two tangents are drawn to the hyperbola `x^2/a^2-y^2/b^2=1` such that product of their slope is `c^2` . the locus of the point of intersection is

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 .

The product of the slopes of two tangents drawn to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is 4 , Then the locus of the point of intersection of the tangent is

The point of intersection of two tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , the product of whose slopes is c^(2) , lies on the curve

The point of intersection of two tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , the product of whose slopes is c^(2) , lies on the curve

From a point P, two tangents PA and PB are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If the product of the slopes of these tangents is 1, then the locus of P is a conic whose eccentricity is equal to

From a point P, two tangents PA and PB are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If the product of the slopes of these tangents is 1, then the locus of P is a conic whose eccentricity is equal to

If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at Aa n dB , then find the locus of the point of intersection of the tangents at Aa n dBdot

If the tangents to the parabola y^2=4a x intersect the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 at Aa n dB , then find the locus of the point of intersection of the tangents at Aa n dBdot