Mathematics Tes...

The value of \(x\), satisfying the equation \(\log _{\cos x} \sin x=1\), where \(0

The solution of \(x^2 \frac{d y}{d x}=x^2+x y+y^2\) will be:

In the expansion of \(\left(\sqrt{x}+\frac{1}{3 x^2}\right)^{10}\) the value of constant term (independent of x) is:

What is the solution to differential equation \(\frac{d x}{d y}+\frac{x}{y}=0\)?

If the roots of the equation x² + bx + c = 0 are two consecutive integers, then b² - 4ac is equal to:

The direction cosines of the perpendicular from the origin to the plane \(\vec{r} \cdot(6 \hat{i}-3 \hat{j}+2 \hat{k})+1=0\) are:

What is \(\int \frac{(\cos x)^{1.5}-(\sin x)^{1.5}}{\sqrt{\sin x \cdot \cos x}} d\) equal to ?

Let \(\mathrm{A}=\left[\begin{array}{ccc}0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0\end{array}\right]\). The only correct statement about the matrix \(\mathrm{A}\) is:

If the points \(A (-1,3,2), B (-4,2,-2)\) and \(C(5,5, \lambda)\) are collinear then the value of \(\lambda\) is: