Question

A hyperbola having the transverse axis of length √2 has the same foci as that of the ellipse 3x² + 4y² = 12, then this hyperbola does not pass through which of the following points ?

Answer 1

(2) \((\sqrt \frac{3}{2},\frac{1}{\sqrt2})\)

\(\therefore\) Equation of hyperbola : x²/1/2 - y²/1/2 = 1

⇒ x² – y² = 1/2 

Clearly \((\sqrt \frac{3}{2},\frac{1}{\sqrt2})\) does not lie on it.