Mathematics Tes...

If |x| = -5 then the value of x lies in the interval:

The projection of the vector \(\hat{i}-2 \hat{j}+\hat{k}\) on the vector \(4 \hat{i}-4 \hat{j}+7 \hat{k}\) is:

Value of \(\cos \left(-1230^{\circ}\right) \times \cot \left(-315^{\circ}\right)\) is:

Which of the following statements is correct for the function \(g(\alpha)\) for \(\alpha \in R\), such that \(g(\alpha)=\int_{\pi / 6}^{\pi / 3} \frac{\sin ^\alpha x}{\cos ^\alpha x+\sin ^\alpha x} d x\)

The vectors \(\vec{a}\) and \(\vec{b}\) are not perpendicular and \(\vec{c}\) and \(\vec{d}\) are two vectors satisfying \(\vec{b} \times \vec{c}=\vec{b} \times \vec{d}\) and \(\vec{a} \cdot \vec{d}=0\) Then the vector \(\vec{d}\) is equal to:

If the mirror image of the point \((2,4,7)\) in the plane \(3 x-y+4 z=2\) is \((a, b, c)\), then \(2 a+b+2 c\) is equal to:

In how many ways, five boys and five girls can stand in a circle when boys and girls standing one by one?

Let \(f(2)=2\) and \(f(x)=2\). Then, \(\lim _{x \rightarrow 2} \frac{x f(2)-2 f(x)}{x-2}\) is given by:

The number of generator of a finite cyclic group of order 28 is:

\(4^{\text {th }}\) term of a G. \(P\) is 8 and \(10^{\text {th }}\) term is \(27 .\) Then its \(6^{\text {th }}\) term is?