Mathematics Tes...

Find the area of the region (in sq. units) bounded by the curve \(y^{2}=2 y-x\) and \(y\)-axis.

If \(\left|x^{2}-3 x+2\right|>x^{2}-3 x+2\), then which one of the following is correct?

If \(\mathrm{A}\) and \(\mathrm{B}\) are two events such that \(\mathrm{P}(\mathrm{A})=\frac{1}{3}, \mathrm{P}(\mathrm{B})=\frac{1}{5}\) and \(\mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{1}{2}\), then \(\mathrm{P}(\mathrm{A} \mid \mathrm{B})+\mathrm{P}\left(\mathrm{B} \mid \mathrm{A}^{\prime}\right)\) is equal to:

If \(Z=1+i\), where \(i=\sqrt{-1}\), then what is the modulus of \(Z+\frac{2}{Z} ?\)

Let, \(R=\{(a, b): a, b \in Z\) and \((a+b)\) is even \(\}\), then \(R\) is:

The domain of \(\sin ^{-1} 5 x\) is:

If the chance that a vessel arrives safely at a port is \(\frac{9}{10}\) then what is the chance that out of \(5\) vessels expected at least \(4\) will arrive safely?

The volume generated by revolving the arc \(y=\sqrt{1+x^{2}}\) lying between \(x=0\) and \(x=4\) about \(x\) - axis is: