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A hyperbola having the transverse axis of length \(\sqrt{2}\) has the same foci as that of the ellipse of \(3 x^2+4 y^2=…

Q1

A hyperbola having the transverse axis of length \(\sqrt{2}\) has the same foci as that of the ellipse of \(3 x^2+4 y^2=12\), then this hyperbola does not pass through which of the following points?


[JEE Main 2020, 3 Sep (Shift 1)]

a

\(\left(-\sqrt{\frac{3}{2}}, 1\right)\)

b

\(\left(\sqrt{\frac{3}{2}}, \frac{1}{\sqrt{2}}\right)\)

c

\(\left(\frac{1}{\sqrt{2}}, 0\right)\)

d

\(\left(1,-\frac{1}{\sqrt{2}}\right)\)

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