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If cos^(-1).(x)/(2) + cos^(-1).(y)/(3) =...

If `cos^(-1).(x)/(2) + cos^(-1).(y)/(3) = (pi)/(6)`, then prove that `(x^(2))/(4) - (xy)/(2sqrt3) + (y^(2))/(9) = (1)/(4)`

A

`(x^(2))/(4) +(y^(2))/(3) = 1`

B

`(x^(2))/(4) +(y^(2))/(5) =1`

C

`(x^(2))/(3)+(y^(2))/(4) = 1`

D

`(x^(2))/(5)+(y^(2))/(4)=1`

Text Solution

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The correct Answer is:
A
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