Mathematics Tes...

Maximise, \(Z=x+y\), subject to \(x-y \leq-1, ~-x+y \leq 0,~\text{and}~ x, y \leq 0\).

How many 5 letter code can be formed using the first 6 letters of the English alphabet if no letter can be repeated.

The area bounded by the coordinate axes and the curve \(\sqrt{ x }+\sqrt{ y }=1\), is:

The function \(f(x)=\frac{4 x^{3}-3 x^{2}}{6} -2 \sin x+(2 x-1) \cos x\):

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

If the mean of a certain set of data is 16 and variance is 4 then find the coefficient of variance.

If the standard deviation and the mean of 16 values are 15.6 and 20.5 respectively then find the coefficient of variation of the 16 values.

If in the triangle ABC, we have \(\cot A+\cot B=2 \cot C\) then,

In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of that of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?

If \(A=\left[\begin{array}{ccc}1 & -5 & 7 \\ 0 & 7 & 9 \\ 11 & 8 & 9\end{array}\right]\), then trace of matrix \(A\) is: