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 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 fromtwo 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_(1)x_(2))/(y_(1)y_(2)) is equal to (a) (a^(2))/(-b^(2))( b) (b^(2))/(-a^(2))( c) (b^(4))/(-a^(4))

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 chords of contact of the tangent from two points (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 (x_1x_2)/(y_1y_2) is equal to

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 from (1,2) to the hyperbola 3x^(2)-4y^(2)=3 , is

If it is possible to draw the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))= 1having slope 2, then find the range of eccentricity