If the tangent at `(h, k)` on `b^2x^2-a^2y^2=a^2b^2` cuts the auxiliary circle in two points whose ordinates are `y_ 1 and y_2`, then `1/y_1 + 1/y_2` is

If the tangent at (h,k) on b^(2)x^(2)-a^(2)y^(2)=a^(2)b^(2) cuts the auxiliary circle in two points whose ordinates are y_(1) and y_(2), then (1)/(y_(1))+(1)/(y_(2)) is

If the tangent at (alpha,beta) to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 . Cuts the auxiliary circle at points whose ordinates are y_1" and "y_2 , then (1)/(y_1)+(1)/(y_2) is equal to :

Tangent at point P (a sec theta, b tan theta) to the hyperbola meets the auxiliary circle of the hyper­bola at points whose ordinates are y_(1) and y_(2) , then 4b tan theta(y_(1)+y_(2))/(y_(1)y_(2)) is equal to

If the tangent at theta on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 meets the auxiliary circle at two points which subtend a right angle at the centre,then e^(2)(2-cos^(2)theta)=

If the tangent at theta on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 meets the auxiliary circle at two points which subtend a right angle at the centre then e^(2)(2-cos^(2)theta) =

[" 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))=]

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

The equation of a circle whose end the points of a diameter are (x_(1), y_(1)) and (x_(2),y_(2)) is

If the tangent to the ellipse x^(2)+2y^(2)=1 at point P((1)/(sqrt(2)),(1)/(2)) meets the auxiliary circle at point R and Q, then find the points of intersection of tangents to the circle at Q and R.