# Let 100 310 931 P é ù ê ú = ê ú ê ú ë û and Q = [qi] be two 3 × 3 matrices such that Q – P5 = I3 . Then 21 31 32 q q q + is equal to :

Question:

Let $P=\left[\begin{array}{ccc}1 & 0 & 0 \\ 3 & 1 & 0 \\ 9 & 3 & 1\end{array}\right]$ and $\mathrm{Q}=\left[\mathrm{q}_{\mathrm{i}}\right]$ be two $3 \times 3$ matrices such that $\mathrm{Q}-\mathrm{P}^{5}=\mathrm{I}_{3}$. Then $\frac{\mathrm{q}_{21}+\mathrm{q}_{31}}{\mathrm{q}_{32}}$ is equal to:

1. 10

2. 130

3. 15

4. 9

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Jan. 12, 2019 (I)

Solution:

### Related Questions

• If $\alpha=\cos ^{-1}\left(\frac{3}{5}\right), \beta=\tan ^{-1}\left(\frac{1}{3}\right)$, where $0<\alpha, \beta<\frac{\pi}{2}$, then $\alpha-\beta$ is equal to:

View Solution

• A value of $x$ satisfying the equation $\sin \left[\cot ^{-1}(1+x)\right]=\cos$ $\left[\tan ^{-1} x\right]$, is :

View Solution

• The principal value of $\tan ^{-1}\left(\cot \frac{43 \pi}{4}\right)$ is:

View Solution

• The number of solutions of the equation, $\sin ^{-1} x=2 \tan ^{-1} x$ (in principal values) is :

View Solution

• A value of $\tan ^{-1}\left(\sin \left(\cos ^{-1}\left(\sqrt{\frac{2}{3}}\right)\right)\right.$ is

View Solution

• A value of $\tan ^{-1}\left(\sin \left(\cos ^{-1}\left(\sqrt{\frac{2}{3}}\right)\right)\right.$ is

View Solution

• The largest interval lying in $\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)$ for which the function, $f(x)=4^{-x^{2}}+\cos ^{-1}\left(\frac{x}{2}-1\right)+\log (\cos x)$, is defined, is

View Solution

• The domain of the function $f(x)=\frac{\sin ^{-1}(x-3)}{\sqrt{9-x^{2}}}$ is

View Solution

• The trigonometric equation $\sin ^{-1} x=2 \sin ^{-1} a$ has a solution for

View Solution

• $$\cot ^{-1}(\sqrt{\cos \alpha})-\tan ^{-1}(\sqrt{\cos \alpha})=x$$ then $\sin x=$

View Solution

error: Content is protected !!