• B. 1
• C. -1
• D. 2 sin 2x

Answer: Option A

Explanation:

• A. $\frac{n!}{x^n}$
• B. $\frac{\left(n-1!\right)}{x^{\left(n-1\right)}}$
• C. $\frac{1}{x^n}$
• D. $\frac{{\left(1!\right)}^n\left(n!\right)}{x^{\left(n-1\right)}}$

Answer: Option D

Explanation:

• A. 2x – 2y - 3 = 0
• B. x – 2y - 3 = 0
• C. x + 2y + 3 = 0
• D. x + 2y - 3 = 0

Answer: Option B

Explanation:

• A. ellipse
• B. parabola
• C. circle
• D. hyperbola

Answer: Option C

Explanation:

• A. (0.0)
• B. (2,0)
• C. (3,0)
• D. (2,3)

Answer: Option C

Explanation:

• A. 14
• B. 7
• D. 5

Answer: Option A

Explanation:

• A. (4, 14)
• B. (-10, 4)
• C. (14, 4)
• D. (4, -10)

Answer: Option C

Explanation:

• A. i
• B. -i
• C. $\pm 2i$
• D. (A) and (B)

Answer: Option D

Explanation:

• A. $\frac{\pi }{2}$
• B. $\frac{\pi }{4}$
• C. 1

Answer: Option A

Explanation:

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

Answer: Option B

Explanation:

• A. $\left(\frac{4}{5}\right)$
• B. $\left(\frac{4}{3}\right)$
• C. $\left(\frac{3}{4}\right)$
• D. $\left(\frac{3}{5}\right)$

Answer: Option B

Explanation:

• A. $2n\mathrm{\pi }+\frac{\mathrm{\pi }}{3}$
• B. $2n\mathrm{\pi }\pm \frac{\mathrm{\pi }}{3}$
• C. $n\mathrm{\pi }\pm \frac{\mathrm{\pi }}{6}$
• D. $n\mathrm{\pi }+\frac{\mathrm{\pi }}{6}$

Answer: Option C

Explanation:

• A. $-\frac{5}{13}$
• B. $-\frac{7}{13}$
• C. $\frac{5}{13}$
• D. $\frac{7}{13}$

Answer: Option B

Explanation:

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

Answer: Option A

Explanation:

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

Answer: Option D

Explanation: