Mathematics Tes...

The area bounded by curve \(y=x|x|, x\) axes and ordinates \(x=1, x=-1\) is given by:

If \(x^{2}<4\) then the value of \(x\) is:

Find the value of \(k\) for which the distance of point \((k+2,2 k+3)\) is \(\frac{4}{ \sqrt{10}}\) from the line \(x+\) \(3 y=7 ?\)

If ' \(\theta\) ' is an acute angle and \(\operatorname{cosec} \theta=\sqrt{2 \sqrt{2 \sqrt{2}}} \ldots \ldots \ldots\), then the value of \(\tan \theta\):

Let \(f(x)\) be a differentiable function defined on \([0,2]\), such that \(f^{\prime}(x)=f^{\prime}(2-x)\), for all \(x \in(0,2), f(0)=1\) and \(f(2)=e^2\). Then, the value of \(\int_0^2 f(x) d x\) is:

If \({ }^{10} {P}_{{r}}=5040\), then \({r}=?\)

If \(x=\cos \theta+i \sin \theta\), then the value of \(x^{n}+\frac{1}{x^{n}}\) is:

A basket contains \(2\) white, \(3\) red and \(4\) black balls. Two balls are drawn at random. Find the probability of not any ball being drawn is black?