MCQ
The real part of ${{\sin }^{-1}}({{e}^{i\theta }})$ is [RPET 1997]
- ✓${{\cos }^{-1}}(\sqrt{\sin \theta })$
- B${{\sinh }^{-1}}(\sqrt{\sin \theta })$
- C${{\sin }^{-1}}(\sqrt{\sin \theta })$
- D${{\sin }^{-1}}(\sqrt{\cos \theta })$
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Let Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn, then S3n : Sn is equal to:
Given that x, y and b are real numbers and x < y, b < 0, then:
$\frac{\text{x}}{\text{b}}<\frac{\text{y}}{\text{b}}$
$\frac{\text{x}}{\text{b}}\leq\frac{\text{y}}{\text{b}}$
$\frac{\text{x}}{\text{b}}>\frac{\text{y}}{\text{b}}$
$\frac{\text{x}}{\text{b}}\geq\frac{\text{y}}{\text{b}}$