The auxiliary equation of circle of hyperbola $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$, is
The auxiliary equation of circle of hyperbola $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$, is
- A
${x^2} + {y^2} = {a^2}$
- B
${x^2} + {y^2} = {b^2}$
- C
${x^2} + {y^2} = {a^2} + {b^2}$
- D
${x^2} + {y^2} = {a^2} - {b^2}$
Similar Questions
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola $16 x^{2}-9 y^{2}=576$
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola $16 x^{2}-9 y^{2}=576$
The equation of the tangent to the hyperbola $4{y^2} = {x^2} - 1$ at the point $(1, 0)$ is
The equation of the tangent to the hyperbola $4{y^2} = {x^2} - 1$ at the point $(1, 0)$ is
At the point of intersection of the rectangular hyperbola $ xy = c^2 $ and the parabola $y^2 = 4ax$ tangents to the rectangular hyperbola and the parabola make an angle $ \theta $ and $ \phi $ respectively with the axis of $X$, then
At the point of intersection of the rectangular hyperbola $ xy = c^2 $ and the parabola $y^2 = 4ax$ tangents to the rectangular hyperbola and the parabola make an angle $ \theta $ and $ \phi $ respectively with the axis of $X$, then
If transverse and conjugate axes of a hyperbola are equal, then its eccentricity is
If transverse and conjugate axes of a hyperbola are equal, then its eccentricity is
The length of transverse axis of the parabola $3{x^2} - 4{y^2} = 32$ is
The length of transverse axis of the parabola $3{x^2} - 4{y^2} = 32$ is