Mark the correct alternative in the following:

If A + B + C = π, then the value of is equal to

Mark the correct alternative in the following:

Mark the correct alternative in the following:

If a, b, c are in A.P., then the determinant

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The number of distinct real roots of lies in the interval is

Mark the correct alternative in the following:

Let , where 0 ≤ θ ≤ 2π. Then,