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The value of `alpha` in `[0,2pi]` so that `x^(2)+y^(2)+2sqrt(sin alpha )x+(cos alpha-1)=0` having intercept on x-axis always greater than 2, is/are

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The value of `alpha` in `[0,2pi]` so that `x^(2)+y^(2)+2sqrt(sin alpha )x+(cos alpha-1)=0` having intercept on x-axis always greater than 2, is/are
A. `(pi//4, 3pi//2)`
B. `(pi//4, pi)`
C. `(pi//4, 5pi//4)`
D. `[0,pi]`
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Correct Answer - B
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