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Definition of a Conic

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what is the equation of hyperbola?

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Q. Equation of the rectangle hyperbola is

Q. Assertion :Statement-l : The combined equation of both the axes of the hyperbola

x y = c^{2}

x^{2} - y^{2} = 0

Reason: Statement - 2 : Combined equation of axes of hyperbola is the combined equation of angle bisectors of the asymptotes of the hyperbola.

Q. Focus of hyperbola is

(\pm 3, 0)

and equation of tangent is

2 x + y - 4 = 0

, find the equation of hyperbola.

Q. What is the equation of the hyperbola having latus rectum and eccentricity 8 and

\frac{3}{\sqrt{5}}

What the equation of the auxiliary circle of a hyperbola $\frac{x^{2}}{16} - \frac{y^{2}}{9} = 1$

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