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 locus of the point of intersection of two tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, If sum of slopes is constant lambda is

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is

The point (at^(2),2bt) lies on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 for

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

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 slope of a tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is 2sqrt(2) then the eccentricity e of the hyperbola lies in the interval

The locus of point of intersection of tangents to an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at two points the sum of whose eccentric angles is constant is

Find the locus of the points of intersection of two tangents to a hyperbola x^(2)/ 25 - y^(2)/ 16 = 1 if sum of their slope is constant a .