Mathematics Tes...

The area bounded by the parabola \(y=x^{2}\) and the line \(y=2 x\) (in square units) is:

Find the sum of the sequence -8, -5, -2, …, 7.

The number of solutions of the equation \(x^{3}+2 x^{2}+5 x+2 \cos x=0\) in \([0,2 \pi]\) are:

If \(x+2 y=\left[\begin{array}{cc}2 & -3 \\ 1 & 5\end{array}\right]\) and \(2 x+5 y=\left[\begin{array}{ll}7 & 5 \\ 2 & 3\end{array}\right]\), then \(y\) is equal to:

Find the distance between the planes \(2 x+y-2 z+6=0\) and \(4 x+2 y-4 z-6=\) \(0\) .

If \(\left|\begin{array}{ccc}a & b & 0 \\ 0 & a & b \\ b & 0 & a\end{array}\right|=0\)

then which one of the following is correct?

The number of terms in the expansion of \(\left(1+3 x+3 x^{2}+x^{3}\right)^{6}\) is:

\(A B\) and \(C D\) are the diameters of a circle which intersects at \(P\). Join \(A C, C B, B D\) and \(D A\). If \(\angle P A D=60^{\circ}\), then what is \(\angle B P D\) equal to?

Find the equation of directrix of the parabola \(y^{2}+8 y-12 x+4=0 \).