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

Answer: Option C

Explanation:

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• A. $\left(\frac{1}{2},0\right),\frac{1}{2}$
• B. $\left(0,2\right),\frac{1}{2}$
• C. $\left(0,\frac{1}{2}\right),2$
• D. $\left(0,\frac{1}{2}\right),\frac{1}{2}$

Answer: Option D

Explanation:

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

Answer: Option B

Explanation:

• A. $\frac{7}{\sqrt{13}}$
• B. $\frac{11}{\sqrt{13}}$
• C. $\sqrt{11}$
• D. $\sqrt{13}$

Answer: Option C

Explanation:

• A. $\frac{1}{x}$
• B. $\frac{1}{x In 10}$
• C. $\frac{{\log }_{10}e}{10}$
• D. $\frac{1}{x}{\log }_{10}e$

Answer: Option B

Explanation:

• A. $8 km/h^2$
• B. $800 km/h^2$
• C. $16 km/h^2$
• D. $80 km/h^2$

Answer: Option A

Explanation:

• A. $1$
• B. $\mathrm{X}$
• C. $x^2$
• D. $x^{2}y$

Answer: Option C

Explanation:

• A. $\frac{5}{\left(5+0.05\right)}$
• B. $\frac{5}{{\left(5+0.05\right)}^2}$
• C. $\frac{5}{{\left(5+0.5\right)}^2}$
• D. $\frac{5}{5+{(0.05)}^2}$

Answer: Option D

Explanation:

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

Answer: Option D

Explanation:

• A. $f\left(x\right)>0$
• B. $f\text{'}\left(x\right)>0$
• C. $f\text{'}\text{'}\left(a\right)>0$
• D. $f\text{'} \text{'}\left(a\right)<0$

Answer: Option D

Explanation:

• A. $8 m{s}^{-2}$
• B. $12 m{s}^{-2}$
• C. $36 m{s}^{-2}$
• D. $42 m{s}^{-2}$

Answer: Option C

Explanation:

• A. $\frac{1}{2}$
• B. $\frac{1}{6}$
• C. $\frac{1}{3}$
• D. $\frac{2}{3}$

Answer: Option A

Explanation:

• A. $\sqrt{2} \left(\cos \frac{\mathrm{\pi }}{4}) + i \sin \frac{\mathrm{\pi }}{4}\right)$
• B. $\sqrt{2} \left(\cos \frac{\mathrm{\pi }}{6} + i \sin \frac{\mathrm{\pi }}{6}\right)$
• C. $\sqrt{3} \left(\cos \frac{\mathrm{\pi }}{4}) + i \sin \frac{\mathrm{\pi }}{4}\right)$
• D. $\sqrt{3} \left(\cos \frac{\mathrm{\pi }}{6} + i \sin \frac{\mathrm{\pi }}{6}\right)$

Answer: Option A

Explanation:

• A. $x=n\mathrm{\pi }, n\in \mathrm{\mathbb{Z}}$
• B. $x=\frac{\mathrm{\pi }}{2}+2n\mathrm{\pi },n\in \mathrm{\mathbb{Z}}$
• C. $x=2n\mathrm{\pi } , n\in \mathrm{\mathbb{Z}}$
• D. $x=\frac{3\mathrm{\pi }}{2}+2n\mathrm{\pi },n\in \mathrm{\mathbb{Z}}$

Answer: Option A

Explanation:

• A. $y^2=(x+3{)}^2+(y+2{)}^2$
• B. $x^2=(x-3{)}^2+(y-2{)}^2$
• C. $x^2=(x-3{)}^2+(y-2{)}^2$
• D. $y^2=(x-3{)}^2+(y-2{)}^2$

Answer: Option D

Explanation: