Home
Class 12
MATHS
[" If the tangent at the point "(h,k)" o...

[" 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))=]

Promotional Banner

Similar Questions

Explore conceptually related problems

The tangent at the vertex of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets its conjugate hyperbola at the point whose coordinates are

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point

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 :

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)) .

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

The auxiliary equation of circle of hyperbola (x ^(2))/(a ^(2)) - (y^(2))/(b ^(2)) =1, is

If the tangents at the point (a sec alpha, b tan alpha) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the transverse axis at T , then the distance of T from a focus of the hyperbola, is

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