Auxiliary equation of circle of hyperbola frac{{{x^2}}}{{{a^2}}} - frac{{{y^2}}}{{{b^2}}} = 1 , is

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10-2. Parabola, Ellipse, Hyperbola

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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

${x^2} + {y^2} = {a^2} - {b^2}$

Solution

(a) The equation is ${(x – 0)^2} + {(y – 0)^2} = {a^2}$.

Standard 11

Mathematics

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