From a point P, two tangents PA and PB are drawn to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`. If these tangents cut the coordinates axes at 4 concyclic points, then the locus of P 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

Two tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 having m_(1) and m_(2) cut the axes at four concyclic points.Fid the value of m_(1)m_(2)

Find the locus of point P such that the tangents drawn from it to the given ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 meet the coordinate axes at concyclic points.

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

tangent drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at point 'P' meets the coordinate axes at points A and B respectively.Locus of mid-point of segment AB is

Find the point 'P' from which pair of tangents PA&PB are drawn to the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 in such a way that (5,2) bisect AB

From a point P, two tangents are drawn to the parabola y^(2) = 4ax . If the slope of one tagents is twice the slope of other, the locus of P is