A) \[\lambda >5\]
B) \[\lambda <2\]
C) \[2<\lambda <5\]
D) \[2>\lambda >5\]
Correct Answer: B
Solution :
Given equation can be rewritten as \[\frac{{{x}^{2}}}{2-\lambda }+\frac{{{y}^{2}}}{-\lambda +5}=1\] To represents an ellipse, \[2-\lambda >0\] and \[-\lambda +5>0\] \[\lambda <2\] and \[\lambda <5\] \[\therefore \] \[\lambda <2\]You need to login to perform this action.
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