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If sin theta+sqrt(3)costheta=6y-y^2-11 ...

If `sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R` holds for

A

no values of x and ` theta `

B

one value of x and two values of ` theta `

C

two values of x and two values of ` theta `

D

two pairs of values of `(x, theta ) `

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The correct Answer is:
B, D
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