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.

If the chords of contact of tangents from two points (x_1,y_1) and (x_2,y_2) to the hyperbola x^2/a^2-y^2/b^2 =1 are at right angles , then (x_1x_2)/(y_1y_2) equals :

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 (x_(1),y_(1)) and (x_(2),y_(2)) to the hyperola x^(2)/a^(2)-y^(2)/b^(2)=1 are at right angles, then find (x_(1)x_(2))/(y_(1)y_(2))

If the chords of contact of tangents from two poinst (x_1, y_1) and (x_2, y_2) to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 are at right angles, then find the value of (x_1x_2)/(y_1y_2)dot

If the chords of contact of tangents from two poinst (x_(1),y_(1)) and (x_(2),y_(2)) to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 are at right angles,then find the value of (x_(1)x_(2))/(y_(1)y_(2))

If the chords of contact of tangents from two points (x_(1),y_(1)) and (x_(2),y_(2)) to the elipse x^(2)/a^(2)+y^(2)/b^(2)=1 are at right angles, then find (x_(1)x_(2))/(y_(1)y_(2))

The equation of the chord of contact of tangents drawn from a point (2,-1) to the hyperbola 16x^(2)-9y^(2)=144 , is

The equation of the chord of contact of tangents drawn from a point (2,-1) to the hyperbola 16x^(2)-9y^(2)=144 , is