If the tangent at point P(h, k) on the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` cuts the circle `x^(2)+y^(2)=a^(2)` at points `Q(x_(1),y_(1))` and `R(x_(2),y_(2))`, then the vlaue of `(1)/(y_(1))+(1)/(y_(2))` is

Find the equation of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x_(0),y_(0)) .

If the tangent at the point (h,k) to (x^2)/(a^2)+(y^2)/(b^2)=1 meets the circle x^2+y^2=a^2 at (x_1,y_1)" and "(x_2,y_2) , then y_1,k,y_2 are in

[" If the tangent at the point "(h,k)" on "],[" the hyperbola "(x^(2))/(a^(2))-(y^(2))/(b^(2))=1" meets the "],[" auxiliary circle of the hyperbola "],[" in two points whose ordinates "],[y_(1),y_(2)" then "(1)/(y_(1))+(1)/(y_(2))=]

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1

Length of common tangents to the hyperbolas (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and (y^(2))/(a^(2))-(x^(2))/(b^(2))=1 is

find the equation of the tangent to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the point (x_(1),y_(1))

Show that the equation of the tangent to the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 " at " (x_(1), y_(1)) " is " ("xx"_(1))/(a^(2)) - (yy_(1))/(b^(2)) = 1

If the chord of contact of tangents from a point (x_(1),y_(1)) to the circle x^(2)+y^(2)=a^(2) touches the circle (x-a)^(2)+y^(2)=a^(2), then the locus of (x_(1),y_(1)) is