Mathematics Tes...

The area bounded by \(y=\log x, x\)-axis and ordinates \(x=1, x=2\) is:

The value of \(x\) for which \(|x+1|+\sqrt{(x-1)}=0\)

If \(\beta\) is perpendicular to both \(\vec{\alpha}\) and \(\vec{\gamma}\) where \(\vec{\alpha}=\hat{k}\) and \(\vec{\gamma}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+4 \mathrm{k},\) then what is \(\beta\) equal to?

If \(A=\left[\begin{array}{cc}\cos 2 \theta & -\sin 2 \theta \\ \sin 2 \theta & \cos 2 \theta\end{array}\right]\) and \(A + A ^{T}= I\) Where \(I\) is the unit matrix of \(2 \times 2\) and  \(A ^{T}\) is the transpose of \(A\), then the value of \(\theta\) is equal to:

The corner points of the feasible region determined by the system of linear constraints are \((0,10),(5,5),(25,20)\) and \((0,30)\). Let \(Z=p x+q y\) , where \(p, q>0\). Condition on \(p\) and \(q\) so that the maximum of \(Z\) occurs at both the points \((25,20)\) and \((0,30)\) is:

Which one of the following is correct?

If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?

Form the differential equation of the following \(y^2=a\left(b^2-x^2\right)\).

Find the area under the curve between \(\mathrm{y}=\mathrm{x}\) and \(\mathrm{y}=2 \mathrm{x}+6\).