• A. -2i
• B. 2i
• C. -2
• D. 2

Answer: Option D

Explanation:

• A. $\frac{4}{5}$
• B. $\frac{8}{3}$
• C. $\frac{8}{5}$
• D. $\frac{7}{5}$

Answer: Option C

Explanation:

• A. ${\tan }^{-1}\left(\frac{3}{4}\right)$
• B. ${\cos }^{-1}\left(\frac{4}{5}\right)$
• C. ${\sin }^{-1}\left(\frac{5}{3}\right)$
• D. ${\sin }^{-1}\left(\frac{3}{4}\right)$

Answer: Option B

Explanation:

• A. -5
• B. -3
• C. 5
• D. 3

Answer: Option A

Explanation:

• A. $2x^2+2x+1=0$
• B. $x^2+1=0$
• C. $2x^2-2x+1=0$
• D. $4x^2-4x+1=0$

Answer: Option C

Explanation:

• A. 2
• B. 3
• C. 4
• D. $\sqrt{2}$

Answer: Option C

Explanation:

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

Answer: Option B

Explanation:

• A. $a^2-4b=0$
• B. $b^2-4a=0$
• C. $b^2+4a=0$
• D. $a^2+4b=0$

Answer: Option D

Explanation:

• A. $\left[-\frac{9}{4},-\frac{7}{4}\right],x\ne -2$
• B. $\left[-\frac{7}{4},-\frac{1}{4}\right]$
• C. $\left[-\frac{9}{4},\frac{1}{4}\right],x\not\equiv -2$
• D. $\left[-\frac{7}{4},\frac{1}{4}\right]$

Answer: Option A

Explanation:

• A. $x{10}^{x-1}$
• B. ${10}^{x}In10$
• C. ${10}^{x}In{10}^x$
• D. $xIn{10}^x$

Answer: Option A

Explanation:

• A. $\frac{4}{1+4x^2}$
• B. $\frac{4}{1+2x^2}$
• C. $\frac{2}{1+4x^2}$
• D. $\frac{6}{1+4x^2}$

Answer: Option A

Explanation:

• A. $-\frac{\sin \left(2 \ln x\right)}{2}$
• B. $-\frac{2\cos \left(\ln x\right)}{x}$
• C. $-\frac{\sin \left(2 \ln x\right)}{x}$
• D. $-2x \cos \left(\ln x\right) \sin \left(\ln x\right)$

Answer: Option C

Explanation:

• A. $\frac{\mathrm{\pi }}{3}$
• B. $\frac{5\mathrm{\pi }}{6}$
• C. $\frac{\mathrm{\pi }}{6}$
• D. $\frac{4\mathrm{\pi }}{6}$

Answer: Option B

Explanation:

• A. $\frac{1}{-5}$
• B. $\frac{1}{6}$
• C. -8
• D. $-\frac{1}{4}$

Answer: Option D

Explanation:

• A. $-\frac{5}{2}$
• B. $-\frac{3}{2}$
• C. $\frac{3}{2}$
• D. $\frac{5}{2}$

Answer: Option A

Explanation: