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Question

Question: Conjugate hyperbola of hyperbola 2x<sup>2</sup> – 3y<sup>2</sup> = – 6 is :...

Conjugate hyperbola of hyperbola 2x2 – 3y2 = – 6 is :

A

2x2 + 3y2 = 6

B

y23x22\frac{y^{2}}{3}–\frac{x^{2}}{2} = – 1

C

y22x23\frac{y^{2}}{2}–\frac{x^{2}}{3} = – 1

D

None of these

Answer

y22x23\frac{y^{2}}{2}–\frac{x^{2}}{3} = – 1

Explanation

Solution

Conjugate hyperbola is 2x2 –3y2 = 6

or x23\frac{x^{2}}{3}y22\frac{y^{2}}{2} = 1