Mathematics Tes...

Find \(2 X-Y\) matrix such as \(X+Y=\left[\begin{array}{ll}7 & 5 \\ 3 & 4\end{array}\right]\) and \(X-Y=\left[\begin{array}{cc}1 & -3 \\ 3 & 0\end{array}\right]\).

The radius of a circle is changing at the rate of \(\frac{ dr }{ dt }=0.01\) m/sec. The rate of change of its area \(\frac{ dA }{ dt }\), when the radius of the circle is \(4\) m, is:

\(\text { Let } \alpha=\frac{(4 !) !}{(4 !)^{3 !}} \text { and } \beta=\frac{(5 !) !}{(5 !)^{4 !}} \text {. Then : }\)

Hungarian algorithm used to solve ____________.

If \(\sin ^{-1} x+\cos ^{-1} y=\frac{2 \pi}{5}\), then \(\cos ^{-1} x+\sin ^{-1} y\) is:

If \(\sin x+\operatorname{sin}^{2} x=1\), then \(\cos ^{4} x+\cos ^{2} x\) is equal to:

Let the six numbers\(a_1, a_2, a_3, a_4, a_5, a_6\) be in A.P. and \(a_1+a_3=10\). If the mean of these six numbers \(\frac{19}{2}\) and their variance is \(\sigma^2\), then \(8 \sigma^2\) is equal to :

Let \(f: R \rightarrow R\) be defined as \(f(x)=3 x\). Choose the correct answer.

The general solution of \(\frac{d y}{d x}+y \tan x=2 \sin x\) is:

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: