Mathematics Tes...

The value of \(\underset{{{x \rightarrow 0}}}{\lim} \frac{\tan ^{2} 3 x}{x^{2}}\) is:

The value of \(\omega^{6}+\omega^{7}+\omega^{5}\) is

Let \(\mathrm{L}\) denote the set of all straight lines in a plane. Let a relation \(\mathrm{R}\) be \(\mathrm{l R m}\) if \(\mathrm{l}\) is perpendicular to \(\mathrm{m \forall l, m \in L}\). Then \(\mathrm{R}\) is:

Let S={1,2,3,...,2022}. Then the probability, that a randomly chosen number n from the set S such that HCF(n,2022)=1, is :

What is the area of the parabola \(x^2=y\) bounded by the line \(y=1\)?

Which one of the following is wrong statement?

Find the principal value of \(\sin ^{-1}\left(\frac{-1}{\sqrt{2}}\right)\).

The value of \(\lim _{x \rightarrow 0} \frac{\cos 4 x-1}{1-\cos x}\) is: