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If 0 lt alpha lt (pi)/(2) and the ecce...

If ` 0 lt alpha lt (pi)/(2)` and the eccentricity of the ellipse
` x^(2) tan^(2) alpha + y^(2) sec^(2) alpha = 1 is 1//2 `, then ` alpha `

A

`(pi)/(12)`

B

`(pi)/(6)`

C

`(5pi)/(12)`

D

`(pi)/(3)`

Text Solution

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The correct Answer is:
D
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