• A. $\left(-2\sqrt{3},2\sqrt{3}\right)$
• B. $\left(-\infty ,-2\sqrt{3}\right)$
• C. $\left(-\infty ,-2\sqrt{3}\right)\cup \left(2\sqrt{3},\infty \right)$
• D. $\left(2\sqrt{3},\infty \right)$

Answer: Option C

Explanation:

• A. $8$
• B. $10$
• C. $12$
• D. $142$

Answer: Option D

Explanation:

• A. $(-\infty , 1)$
• B. $(1.2)$
• C. $[1,2]$
• D. $[2, \infty )$

Answer: Option C

Explanation:

• A. $(2,3)$এবং $4$
• B. $(2,3)$এবং $5$
• C. $(2,-3)$এবং $2\sqrt{5}$
• D. $(2,3)$এবং $2\sqrt{5}$

Answer: Option D

Explanation:

• A. 5
• B. -5
• C. 6
• D. -6

Answer: Option A

Explanation:

• A. $2$
• B. $-8$
• C. $3$
• D. $8$

Answer: Option D

Explanation:

• A. $\frac{1+\ln x}{1+\ln y}$
• B. $-\frac{1+\ln x}{1+\ln y}$
• C. $\frac{1-\ln x}{1+\ln y}$
• D. $\frac{1+\ln x}{1-\ln y}$

Answer: Option B

Explanation:

• A. $0$
• B. $8$
• C. $-8$
• D. $1$

Answer: Option C

Explanation:

• A. $\frac{3\mathrm{\pi }}{4}$
• B. $\frac{3\mathrm{\pi }}{2}$
• C. $\frac{2\mathrm{\pi }}{2}$
• D. $\frac{\mathrm{\pi }}{3}$

Answer: Option A

Explanation:

• A. $\frac{3\mathrm{\pi }}{4}$
• B. $\frac{\mathrm{\pi }}{4}$
• C. $\frac{2\mathrm{\pi }}{3}$
• D. $\frac{5\mathrm{\pi }}{6}$

Answer: Option A

Explanation:

• A. $0$
• B. $\frac{\mathrm{\pi }}{2}$
• C. $\mathrm{\pi }$
• D. $2\mathrm{\pi }$

Answer: Option C

Explanation:

• A. $\frac{a-b}{1+ab}$
• B. $\frac{a+b}{1-ab}$
• C. $\frac{2ab}{1+ab}$
• D. $\frac{2ab}{1-ab}$

Answer: Option B

Explanation:

• A. $\frac{\mathrm{\pi }}{3}$
• B. $\frac{\mathrm{\pi }}{4}$
• C. $\frac{\mathrm{\pi }}{2}$
• D. $\mathrm{\pi }$

Answer: Option C

Explanation:

• A. $\frac{\pi }{4}$
• B. $\frac{\pi }{8}$
• C. ${\tan }^{-1}\frac{13}{16}$
• D. $\frac{1}{2}{\tan }^{-1}\frac{13}{16}$

Answer: Option A

Explanation:

• A. $\frac{\mathrm{\pi }}{2}$
• B. $\frac{\mathrm{\pi }}{4}$
• C. $\frac{\mathrm{\pi }}{6}$
• D. $\frac{\mathrm{\pi }}{7}$

Answer: Option B

Explanation: