If hyperbola `(x^2)/(b^2)-(y^2)/(a^2)=1` passes through the focus of ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` , then find the eccentricity of hyperbola.

Find the eccentricity of hyperbola x^(2)-9y^(2)=1 .

If the foci of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 coincide with the foci of (x^(2))/(25)+(y^(2))/(9)=1 and the eccentricity of the hyperbola is 2, then a^(2)+b^(2)=16 there is no director circle to the hyperbola the center of the director circle is (0,0). the length of latus rectum of the hyperbola is 12

If the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) passes through the points (3sqrt2, 2) and (6, 2sqrt(3)) , then find the value of e i.e., eccentricity of the given hyperbola.

The sides AC and AB of a o+ABC touch the conjugate hyperbola of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1. If the vertex A lies on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, then the side BC must touch parabola (b) circle hyperbola (d) ellipse

Statement 1 : If from any point P(x_1, y_1) on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1, then the corresponding chord of contact lies on an other branch of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 Statement 2 : From any point outside the hyperbola, two tangents can be drawn to the hyperbola.

The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, ) and has the eccentricity 2. Then the transverse axis of the hyperbola has the length 1 (b) 3 (c) 2 (d) 4

The hyperbola (y^(2))/(a^(2))-(x^(2))/(b^(2)) =1 passes through the points (0, -2) and (sqrt(3). 4) . Find the value of e i.e., the eccentricity of the given hyperbola.

Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then

If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)/(16)=1 . Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse and if the product of eccentricities of hyperbola and ellipse is 1 then the equation of a. hyperbola is (x^2)/9-(y^2)/(16)=1 b. the equation of hyperbola is (x^2)/9-(y^2)/(25)=1 c. focus of hyperbola is (5, 0) d. focus of hyperbola is (5sqrt(3),0)