MCQ
$\cosh (\alpha +i\beta )-\cosh (\alpha -i\beta )$ is equal to [RPET 2000]
- A$2\,\,\sinh \,\alpha \,\,\sinh \,\beta $
- B$2\,\,\cosh \,\alpha \,\,\cosh \,\beta $
- ✓$2i\,\,\sinh \,\alpha \,\,\sin \,\beta $
- D$2\,\,\cosh \,\alpha \,\,\cos \,\beta $
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The distance of the point of intersection of the lines 2x - 3y + 5 = 0 and 3x + 4y = 0 from the line 5x - 2y = 0 is:
$\frac{130}{17\sqrt{29}}$
$\frac{13}{7\sqrt{29}}$
$\frac{130}{7}$
If M and N are any two events, the probability that at least one of them occurs is:
$\text{P(M)}+\text{P(N)}-2\text{P(M}\cap\text{N)}$
$\text{P(M)}+\text{P(N)}-\text{P(M}\cap\text{N)}$
$\text{P(M)}+\text{P(N)}+\text{P(M}\cap\text{N)}$
$\text{P(M)}+\text{P(N)}+2\text{P(M}\cap\text{N)}$