Mathematics Tes...

If \(\vec{a}=6 \hat{i}+4 \hat{j}+4 \hat{k}\) and \(\vec{b}=2 \hat{i}+4 \hat{j}+3 \hat{k}\), then the value of \(\vec{b} \times \vec{a}\) is:

A problem is given to three persons and their chances of solving it are \(\frac{1}{3}, \frac{1}{4}, \frac{1}{5}\) respectively. This probability that none will solve it is:

The area of the region bounded by the lines \(y=|x-1|\) and \(y=3-|x|\) is:

What is the modulus of \(\frac{1+7 i}{(2-i)^{2}}\) ?

Find the value of \(A\), if \(\sqrt{3}-3 \sqrt{3} \tan ^{2} A=3 \tan A-\tan ^{3} A\).

The scores of \(15\) students in an examination were recorded as \(10,5,8,16,18,20,8,10,16,20,18\), \(11,16,14\) and \(12\). After calculating the mean, median and mode, an error is found. One of the values is wrongly written as \(16\) instead of \(18\). Which of the following measures of central tendency will change?

The mean and variance of a binomial distribution are \(8\) and \(4\) respectively, then \(p(x = 1)\) is equal to?

Evaluate \(\int \frac{3 a x}{b^{2}+c^{2} x^{2}} d x\).

\(\vec{a}=2 \hat{i}+\hat{j}+3 \hat{k}\) and \(\hat{b}=3 \hat{i}-2 \hat{j}+\hat{k}\) are two vectors. The angle between them is: