Class 11 Mathematics Chapter 5 Complex Numbers And Quadratic Equations Quiz 6 (17 MCQs)

Quiz Instructions

Select an option to see the correct answer instantly.

1. What is the result of (5-3i)(2 + i)?

Correct Answer: B) 10-13i.

2. The simplified value of (1-i)$^{3}$/(1-i$^{3}$) is

Correct Answer: B) -2.

3. Plot the points that are the solutions to the system of equations. $y=7x+1$ $y = 4x + 3$

Correct Answer: C) (0, 3) and (1, 4).

4. Simplify $(4+5i)-(8-i)$ $a+bi$

Correct Answer: A) $-4+6i$.

5. Solve by Completing the Square:$-2x^2+10x-2=0$

Correct Answer: C) $x=\frac{5\pm\sqrt{21}}{2}$.

6. Find the product:$(5+3i)(5-3i)$

Correct Answer: A) $34$.

7. The value of x and y if $\left(2x-3\right)+i\left(3y-2\right)=0$

Correct Answer: C) $x=\frac{3}{2}, y=\frac{2}{3}$.

8. What is the product of the expression (4 + 5i)(3 + 8i)?

Correct Answer: A) -52 + 47i.

9. Write the equation $x^2 + 24x + 60 = 0$ $(x + p)^2 = q$

Correct Answer: B) $(x + 12)^2 = 84$.

10. What are the solutions to $3x^2-7x-22 = 0$

Correct Answer: C) X = $\frac{7 \pm \sqrt{313}}{6}$.

11. In complex number $z=3-2i$

Correct Answer: C) $3$.

12. If a + ib = c + id, then

Correct Answer: D) A$^{2}$ + b$^{2}$ = c$^{2}$ + d$^{2}$.

13. Solve using the Quadratic Formula:$-20x=4x^2+25$

Correct Answer: B) $x=-\frac{5}{2}$.

14. Multiply. (2+3i)(2+3i)

Correct Answer: B) -5 + 12i.

15. Solve:2(x-3)$^{2}$-14 = 18

Correct Answer: B) -1, 7.

16. Solve:$x^2=100$

Correct Answer: C) $x=\pm10$.

17. Which pair of numbers are *complex conjugates*?

Correct Answer: A) $-2+7i$ $-2-7i$.