Mathematics Tes...

The solution of the inequality \(\frac{x}{4}>\frac{x}{2}+1\) will be:

Let \(\vec{a}=\hat{i}-\hat{j}+2 \hat{k}\) and let \(\vec{b}\) be a vector such that \(\vec{a} \times \vec{b}=2 \hat{i}-\hat{k}\) and \(\vec{a} \cdot \vec{b}=3\). Then the projection of \(\vec{b}\) on the vector \(\vec{a}-\vec{b}\) is:

If \({ }^{9} P_{5}+5 .{ }^{9} P_{4}={ }^{10} P_{r}\), then the value of \({r}\) is:

In formula Mean deviation \(= MD =\left(\frac{1}{n}\right)\sum| x - M |\) what does \(M\) indicates:

Which one of the following statements is correct?

What is \(\lim _{x \rightarrow 0} \frac{3^{x}+3^{-x}-2}{x}\) equal to?

One kind of cake requires \(200 \mathrm{~g}\) of flour and \(25 \mathrm{~g}\) of fat, and another kind of cake requires \(100 \mathrm{~g}\) of flour and \(50 \mathrm{~g}\) of fat. Find the maximum number of cakes which can be made from \(5 \mathrm{~kg}\) of flour and \(1 \mathrm{~kg}\) of fat assuming that there is no shortage of the other ingredients used in making the cakes.

Let \({f}({x})={x}-\frac{1}{{x}}\), then \({f}'(-1)\) is:

Solving an integer programming problem by rounding off answers obtained by solving it as a linear programming problem (using simplex), we find that:

If the lines \(\frac{x-3}{3}=\frac{y+4}{2}=\frac{z-1}{\lambda}\) and \(\frac{x+1}{3}=\frac{y-2}{2}=\frac{z}{1}\) are coplanar then find thevalue of \(\lambda\).