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The equation (x^(2))/(2-lamda)-(y^(2))/(...

The equation `(x^(2))/(2-lamda)-(y^(2))/(lamda-5)-1=0`, represent and ellipse, if

A

`lamdagt5`

B

`lamdalt2`

C

`2ltlamdalt5`

D

`2gtlamdagt5`

Text Solution

Verified by Experts

The correct Answer is:
B
Given equation can be rewritten as
`(x^(2))/(2-lamda)-(y^(2))/(-lamda+5)=1`
To represent an ellipse,
`2-lamdagt 0` and `-lamda+5gt0`
`implieslamdalt2` and `lamdalt5`
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