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

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)

Two tangents are drawn from a point P to the circle x^(2)+y^(2)+2gx+2fy+c=0 . If these tangents cut the coordinate axes in concyclic points show hat the locus of P is (x+y+g+f)(x-y+g-f)=0

Two tangents are drawn from a point P to the circle x^(2)+y^(2)+2gx+2fy+c=0 . If these tangents cut the coordinate axes in concyclic points show hat the locus of P is (x+y+g+f)(x-y+g-f)=0

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.

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

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.