Mathematics Tes...

How many different 4 – letter words can be formed with the letter of the word ‘MUNCH’ when U & N are always to be included?

The angle between x = y + 8, and x + y = 5 is:

If \(I_1=\int_e^{e^2} \frac{d x}{\log x}\) and \(I_2=\int_1^2 \frac{e^x}{x} d x\) then

The simplified form of \(\mathrm{i}^{\mathrm{n}}+\mathrm{i}^{\mathrm{n}+1}+\mathrm{i}^{\mathrm{n}+2}+\mathrm{i}^{\mathrm{n}+3}\) is

The coefficient of the term independent of \(x\) in the expansion of \(\left(\sqrt{\frac{x}{3}}+\frac{3}{2 x^{2}}\right)^{10}\) is:

\(ABCD\) is a parallelogram and \(AC , BD\) be its diagonals Then \(\overrightarrow{ AC }+\overrightarrow{ BD }\) is:

Which of the given values of \(x\) and \(y\) make the following pair of matrices equal

\(\left[\begin{array}{cc}3 x+7 & 5 \\ y+1 & 2-3 x\end{array}\right]=\left[\begin{array}{cc}0 & y-2 \\ 8 & 4\end{array}\right]\)

Find the middle terms in the expansion of \(\left(2 \mathrm{x}+\frac{1}{\mathrm{x}}\right)^{8}\).

Find the direction cosines of the line passing through the two points \((-2,4,-5)\) and \((1,2,3)\).