Question

The equation $\frac{x^{2}}{2 - \lambda} + \frac{y^{2}}{\lambda - 5} + 1 = 0$ represents an ellipse if

• A. $\lambda > 5$
• B. $\lambda$ < 2
• C. 2<$\lambda$ < 5
• D. $\lambda < 2,\lambda > 5$

Answer 1

Answer: (C)

2<$\lambda$ < 5

Answer 2

Required conditions are 2 - λ > 0 and λ - 5 > 0

⇒ 2 < λ < 5