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Question: Answered & Verified by Expert
The radius of the director circle of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$, is
MathematicsHyperbolaJEE Main
Options:
  • A $a-b$
  • B $\sqrt{a-b}$
  • C $\sqrt{a^2-b^2}$
  • D $\sqrt{a^2+b^2}$
Solution:
1382 Upvotes Verified Answer
The correct answer is: $\sqrt{a^2-b^2}$
Equation of director-circle of the hyperbola
$\begin{aligned}
& \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 \text { is } x^2+y^2=a^2-b^2 \\
& \text { So, radius }=\sqrt{a^2-b^2}
\end{aligned}$

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