Day 478: MHT-CET Maths

1. A.
   $\begin{pmatrix} 109 & 33 \\ 33 & 10 \end{pmatrix}$
2. B.
   $\begin{pmatrix} 10 & 33 \\ 33 & 10 \end{pmatrix}$
3. C.
   $\begin{pmatrix} 10 & 33 \\ 33 & 109 \end{pmatrix}$
4. D.
   $\begin{pmatrix} 10 & -33 \\ -33 & 109 \end{pmatrix}$

Tap an option to check your answer.

1. A.
   $0$
2. B.
   $10$
3. C.
   $8$
4. D.
   $2$

Tap an option to check your answer.

1. A.
   $\left(1 + \dfrac{1}{x^2}\right)^{3/2}\left[\dfrac{-1}{3}\log\left(1 + \dfrac{1}{x^2}\right) + \dfrac{2}{9}\right] + c$
2. B.
   $\left(1 + \dfrac{1}{x^2}\right)^{3/2}\left[\dfrac{-1}{3}\log\left(1 + \dfrac{1}{x^2}\right) - \dfrac{2}{9}\right] + c$
3. C.
   $\left(1 + \dfrac{1}{x^2}\right)^{3/2}\left[\dfrac{-1}{3}\log\left(1 + \dfrac{1}{x^2}\right) + \dfrac{2}{3}\right] + c$
4. D.
   $\left(1 + \dfrac{1}{x^2}\right)^{3/2}\left[\dfrac{-1}{3}\log\left(1 + \dfrac{1}{x^2}\right) - \dfrac{2}{3}\right] + c$

Tap an option to check your answer.

1. A.
   2
2. B.
   –2
3. C.
   $\frac{1}{2}$
4. D.
   $-\frac{1}{2}$

Tap an option to check your answer.

1. A.
   $\tan^{-1}\left(\dfrac{1}{\sqrt{2}}\right)$
2. B.
   $\cos^{-1}\left(\dfrac{1}{3}\right)$
3. C.
   $\cos^{-1}\left(\dfrac{1}{2\sqrt{2}}\right)$
4. D.
   $\tan^{-1}\left(\sqrt{2}\right)$

Tap an option to check your answer.