Equation of the hyperbola passing through (2,1) and having the distance between the Directrices is $\frac{4}{\sqrt{3}}$ is

5x²-2y²=18

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3x²-2y²=10

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2x²-y²=7

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3x²-5y²=7

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Solution

The correct option is B
3x²-2y²=10

$\Rightarrow$ Substitute the pt in options and verify

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Similar questions

(2, 1)

\frac{4}{\sqrt{3}}

Equation of the hyperbola with centre $(0, 0)$ distance between the foci is $18$ and distance between directrices $8$ .

\frac{1}{2}

3 x^{2} + 4 y^{2} = 12,

In a hyperbola e = $\frac{9}{4}$ and the distance between the directrices is 3. Then the length of Transverse axis is

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