• A. 2
• B. 3
• C. 4
• D. 6

Answer: Option A

Explanation:

• A. $0$
• B. $\frac{1}{3}$
• C. $3$
• D. $1$

Answer: Option B

Explanation:

• A. $1$
• B. $-1$
• C. $i$
• D. $-i$

Answer: Option C

Explanation:

• A. $0$
• B. $i$
• C. $-i$
• D. $1$

Answer: Option B

Explanation:

• A. 1+2i
• B. 1-2i
• C. 1+ i
• D. 1-i

Answer: Option A

Explanation:

• A. -1
• B. 1
• C. 2
• D. -2

Answer: Option D

Explanation:

• A. $1$
• B. $-i$
• C. $i$
• D. $0$

Answer: Option D

Explanation:

• A. $2$
• B. $-2i$
• C. $0$
• D. $2i$

Answer: Option C

Explanation:

• A. 1
• B. -i
• C. -1

Answer: Option B

Explanation:

• A. $\frac{x-y}{x\left(In x-1\right)}$
• B. $\frac{x-y}{x\left(1-In x\right)}$
• C. $\frac{y-x}{x\left(1-In x\right)}$
• D. $\frac{y-x}{x\left(\ln x-1\right)}$

Answer: Option A

Explanation:

• A. $\frac{\ln 5}{xy}$
• B. $-\frac{\ln 5}{xy}$
• C. $-\frac{y}{x}$
• D. $\frac{\ln 5}{x}$

Answer: Option C

Explanation:

• A. $\sqrt{1+x^2}{\tan }^{-1}x$
• B. $\left(1+x^2\right){\tan }^{-1}x$
• C. $\sqrt{1-x^2}{\tan }^{-1}x$

Answer: Option B

Explanation:

• A. $e^{5x}$
• B. $5e^{4x}$
• C. $e^x$
• D. $5e^{5x}$

Answer: Option B

Explanation:

• A. $15$
• B. $\frac{2}{9}$
• C. $1$
• D. $25$

Answer: Option C

Explanation:

• A. $0°$
• B. $90°$
• C. $30°$
• D. $60°$

Answer: Option A

Explanation: