Mathematics Tes...

Determine graphically the minimum value of the objective function. \(Z=-50 x+20 y\)

Subject to constraints

\(2 x-y \geq-5 \)

\(3 x+y \geq 3 \)

\(2 x-3 y \leq 12 \)

\(x \geq 0, y \geq 0\)

There are \(13\) points in a plane of which \(5\) are collinear. Find the number of straight lines obtained by joining these points in pairs.

Sum of two rational numbers is ______ number.

In how many ways can a team of 5 players be selected from 8 players so as not to include a particular player?

The variance of the data \(2, 4, 6, 8, 10\) is:

If the value of \(\tan \theta+\cot \theta=\sqrt{3}\), then find the value of \(\tan ^{6} \theta+\cot ^{6} \theta\).

Which one of the following is not an original postulate of geometry?

If \(A=\left[\begin{array}{ccc}1 & 0 & -2 \\ 2 & -3 & 4\end{array}\right]\), then the matrix \(X\) for which \(2 X+3 A=0\) holds true is:

If \(x^{e}=e^{x^{2}+y^{2}}\), then find \(\frac{d y}{d x}\).