Mathematics Tes...

What is the principal value of sin-1(Sin$\frac{2\mathrm{\pi }}{3}$ )?

If $f\left(x\right) = \left|x\right|+|x-1|$, then which one of the following is correct ?

The set of intelligent students in a class is?

If $x+y=10$ and $x^2+y^2=68$, find the value of $xy$.

If \(\left\{\frac{1}{2}(a-b)\right\}^{2}+a b=p(a+b)^{2}\), then the value of \(p\) is (assume that a\(\neq {b}\) ):

The product of r consecutive positive integers, divided by r! is?

What is tan^-1$\left(\frac{1}{4}\right)+{\tan }^{-1}\left(\frac{3}{5}\right)$ equal to ? 

If $(2x+\frac{1}{3x})=6$, find the value of $(9x^2+\frac{1}{4x^2})$.

The number of non-zero integral solutions of the equation $|1 - 2i{|}^x = 5^x$ is-

Find the least perfect square number, which when divided by 4, 5 and 6 gives remainder 0 in each case.