The equation of the hyperbola with centre at \( (0,0) \) \( \mathrm...

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The equation of the hyperbola with centre at \( (0,0) \)
\( \mathrm{P}^{13:} \) and co-ordinate axes as its axes, distance between

W the directrices being \( \frac{4}{\sqrt{3}} \) and passing through the point \( (2,1) \), is
(1) \( 3 x^{2}-2 y^{2}=10 \)
(2) \( 3 x^{2}-2 y^{2}=2 \)
(3) \( 2 x^{2}-3 y^{2}=10 \)
(4) \( x^{2}-y^{2}=3 \)
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