Mathematics Tes...

If any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant:

The expression \(\left(\frac{1}{\sqrt{2}} \mathrm{i}+\frac{1}{\sqrt{2}} \mathrm{j}\right)\) is a:

The probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains 3 Kings is:

Consider the following Linear Programming Problem (LPP).

Maximise \(\mathrm{Z}=\mathrm{x}_{1}+2 \mathrm{x}_{2}\)

Subject to:

\(x_{1} \leq 2 \)

\(x_{2} \leq 2 \)

\(x_{1}+x_{2} \leq 2\)

\(\mathrm{x}_{1}, \mathrm{x}_{2} \geq 0\) (i.e. +ve decision variables)

What is the optimal solution to the above LPP?

The area of a triangle with vertices \((-3,0),(3,0)\) and \((0, k)\) is 9 sq units, then the value of \(k\) will be:

If \(\sqrt{y}=\sin x+\cos x\), then \(\frac{d y}{d x}\) is:

If \(\left(\frac{\sqrt{22}+\sqrt{10}}{\sqrt{22}-\sqrt{10}}\right)^{3}+\left(\frac{\sqrt{22}-\sqrt{10}}{\sqrt{22}+\sqrt{10}}\right)^{3}=\frac{229 a}{27}\), what is the value of a?

In a school, 50% students play cricket and 40% play football. If 10% of students play both the games, then what per cent of students play neither cricket nor football?

If \(n \in N,\left(\frac{n+1}{2}\right)^{n} \geq n !\) is true when: