Mathematics Tes...

If three coplanar concurrent forces acting at a point ' \(O\) ' are in equilibrium thenthe ratio of \(\frac{T_{1} }{ T_{2}}\) and \(\frac{T_{1} }{ T_{3}}\) respectively will be:

Differentiate the following.

For \(x>1,(2 x)^{2 y}=4 e^{2 x-2 y}\), then \(\left(1+\log _{e} 2 x\right)^{2} \frac{d y}{d x}\) is equal to:

The feasible solution for a LPP is shown in Figure. Let \(\mathrm{Z}=3 {x}-4 {y}\) be the Objective function, Maximum of \(\mathrm{Z}\) occurs at:

Two wires AO and BO support a vertical load W at O as shown in the figure below. The wires are of equal length and equal cross-sectional area. The tension in each wire is equal to:

A weight of \(1000 N\) is supported by two chains as shown in Figure. What will be the tension in Chain-\(1\) and Chain-\(2\) respectively?

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

The argument of the complex number \(\frac{1-\mathrm{i}}{1+\mathrm{i}},\) where \(\mathrm{i}=\sqrt{-1},\) is

The parametric equation of the parabola \({y}^{2}=4 ax\) is:

If \((a+\sqrt{2} b \cos x)(a-\sqrt{2} b \cos y)=a^{2}-b^{2}\), where \(a>b>0\), then \(\frac{d x}{d y}\) at \(\left(\frac{\pi}{4}, \frac{\pi}{4}\right)\) is: