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Question

The equation x22λ+y2λ5+1=0 represents an ellipse, if

A
λ(,2)(5,)
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B
λ(2,5)
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C
λ(2,72)(72,5)
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D
λ(2,72)(5,)
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Solution

The correct option is C λ(2,72)(72,5)
x22λ+y2λ5+1=0
x2λ2+y25λ=1
To represent the equation of ellipse,
λ2>0
λ>2(i)
and 5λ>0
λ<5
Also λ25λ
λ72(iii)

From equations (i),(ii) and (iii), we get
λ(2,72)(72,5)

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