Mathematics Tes...

The area of the region bounded by the curve \(y=\sqrt{16-\mathrm{x}^{2}}\) and \(\mathrm{x}\)-axis is:

The solution of \(|\frac2{(x-4)}|>1\) where \(x \neq 4\) is:

A vector \(\vec{r}=a \hat{i}+b \hat{j}\) is equally inclined to both \(x\) and \(y\) axes. If the magnitude of the vector is \(2\) units, then what are the values of \(a\) and \(b\) respectively?

The constraints \(-x_{1}+x_{2} \leq 1, -x_{1}+3 x_{2} \leq 9\) and \(x_{1}, x_{2} \geq 0\) defines on:

Let \(R\) be a relation defined as \(R=\left\{(a, b): a^{2} \geq b\right.\), where \(a\) and \(b \in Z\}\). Then, relation \(R\) is a/an:

If \(x\) is a Poisson random variate with mean \(3\) , then \(P\{|x-3|<1\}\) will be _______.

Find the distance of the point (2,1,0) from the plane \(2 x+y+2 z+5=0\)?

What is the general solution of the differential equation ydx – (x + 2y²) dy = 0?