• 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:

• A. $v = \sqrt{u^2- 2gh}$
• B. $v = -\sqrt{u^2- 2gh}$
• C. $v = \sqrt{u^2+ 2gh}$
• D. $v = -\sqrt{u^2+ 2gh}$

Answer: Option A

Explanation:

• A. $900m/s^2$
• B. $30 m/s^2$
• C. $36 m/s^2$
• D. $45 m/s^2$

Answer: Option C

Explanation:

• A. $x^2+y^2-6x+4y+12=0$
• B. $x^2+y^2-4x+6y+12=0$
• C. $x^2+y^2-6x+4y-12=0$
• D. $x^2+y^2-4x+6y-12=0$

Answer: Option B

Explanation: