Mathematics Tes...

If \(A=\left[\begin{array}{ccc}\frac{2}{3} & 1 & \frac{5}{3} \\ \frac{1}{3} & \frac{2}{3} & \frac{4}{3} \\ \frac{7}{3} & 2 & \frac{2}{3}\end{array}\right]\) and \(B=\left[\begin{array}{ccc}\frac{2}{5} & \frac{3}{5} & 1 \\ \frac{1}{5} & \frac{2}{5} & \frac{4}{5} \\ \frac{7}{5} & \frac{6}{5} & \frac{2}{5}\end{array}\right]\) then find the value of \(3 A-5 B\).

In how many different ways can the letters of the word 'RUMOUR' be arranged?

The equation of the locus of a point equidistant from the point \(A(2,3)\) and \(B(-1,2)\) is:

A jar contains \(24\) marbles. Some are red and others are white. If a marble is drawn at random from the jar, the probability that it is red is \(\frac{2}{3}\), then the number of white marbles in the jar is:

Let \(y=3 x^{2}+2\). If \(x\) changes from 10 to 10.1, then what is the total change in y?

A code consists of two distinct letters followed by two distinct numbers by using digits from \(1\) to \(9\) then how many such codes can be generated?

The co-efficient of y in the expansion of \(\left( y ^{2}+ \frac{c }{ y} \right)^{5}\) is?

The number of tangents that can be drawn from \((2,6)\) to \(x^{2}+y^{2}=40\) is:

The roots of quadratic equation \(2 {x}^{2}+{x}+4=0\) are:

A number \(x\) is chosen at random from the numbers \(-2,-1,0,1,2\). Then the probability that \(x^2<2\) is?