The chord of contact of a point `P` w.r.t a hyperbola and its auxiliary circle are at right angle. Then the point `P` lies on conjugate hyperbola one of the directrix one of the asymptotes (d) none of these

If the chords of contact of tangents drawn from P to the hyperbola x^(2)-y^(2)=a^(2) and its auxiliary circle are at right angle, then P lies on

Let P be any point on any directrix of an ellipse. Then the chords of contact of point P with respect to the ellipse and its auxiliary circle intersect at (a)some point on the major axis depending upon the position of point Pdot (b)the midpoint of the line segment joining the center to the corresponding focus (c)the corresponding focus (d)none of these

The chords of contact of all points on a line w.r.t the parabola y^(2)=4x are concurrent at the point (1,0) .The equation of the line

Perpendiculars are drawn,respectively,from the points P and Q to the chords of contact of the points Q and P with respect to a circle. Prove that the ratio of the length of perpendiculars is equal to the ratio of the distances of the points P and Q from the center of the circles.

Auxiliary Circle & Eccentricity Angle|| Chord Joining p(α),( β)|| Rectangular hyperbola

The length of the chord of contact of the point P(x_(1),y_(1)) w.r.t.the circle S=0 with radius r is

if the chord of contact of tangents from a point P to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 subtends a right angle at the centre,then the locus of P is

If the chords of contact of tangents from two points (-4,2) and (2,1) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 are at right angle, then find then find the eccentricity of the hyperbola.