MHT CET · Maths · Hyperbola
The eccentricity of the hyperbola which passes through the points \((3,0)\) and \((3 \sqrt{2}, 2)\) is
- A \(\sqrt{13}\)
- B \(\frac{\sqrt{13}}{4}\)
- C \(\frac{\sqrt{13}}{3}\)
- D \(\frac{\sqrt{13}}{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{\sqrt{13}}{3}\)
Step-by-step Solution
Detailed explanation
Let the equation of the hyperbola be \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\). Using point \((3,0)\): \(\frac{3^2}{a^2} - \frac{0^2}{b^2} = 1 \implies a^2 = 9\).
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