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Class 11 Mathematics: Complex Numbers and Quadratic Equations
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MCQs on complex numbers, argand plane, polar representation, quadratic equations and its applications.
 

Class 11 Mathematics: Complex Numbers and Quadratic Equations
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25 Questions

1. Solve x2+1 = 0.
2. Solve 2x2+√2x+2= 0.
3. Square roots of -7 are____________
4. What is the set of values of p for which the roots of the equation 3x2 + 2x + p(p – 1) = 0 are of opposite sign?
5. If z1 = 2+3i and z2 = 5+2i, then find sum of two complex numbers.
6. 0+0i is ______________________for complex number z.
7. Solve – x2 + x – 2 = 0.
8. If |z1| = 4, |z2| = 3, then what is the value of |z1 + z2 + 3 + 4i|?
9. If x2 + px + 1 = 0 and (a – b)x2 + (b – c)x + (c – a) = 0 have both roots common, then what is the form of a, b, c?
10. (x+3) + i(y-2) = 5+i2, find the values of x and y.
11. If, (a + 1)x2 + 2(a+1)x + (a – 2) = 0, then, for what parameter of 'a' the given equation have equal roots?
12. Find mirror image of point representing x+i y on real axis.
13. According to De Moivre’s theorem what is the value of z1/n ?
14. Roots of a quadratic equation are real when discriminant is ______________
15. Let S denotes the set of all real values of the parameter 'a' for which every solution of the inequality log1/2 x2 ≥ log1/2 (x + 2) is the solution of the inequality 49x2 – 4a4 ≤ 0. What is the value of S?
16. Convert (8, 2π/3) into Argand plane representation.
17. Solve \(\sqrt{3}x^2 – \sqrt{2} x + 3\sqrt{3}\) = 0
18. Solve 2x2 + x + 1 = 0.
19. If, α and β are the roots of the equation 2x2 – 3x – 6 = 0, then what is the equation whose roots are α2 + 2 and β2 + 2?
20. (-i) (8+5i) =________________
21. Which axis is known as real axis in argand plane?
22. What will be the value of f(x) if, 2A, A + B, C are integers and f(x) = Ax2 + Bx + C = 0?
23. If x1, x2 are real roots of ax2 – x + a = 0. Then, find the set of all values of parameter 'a' for which |x1 – x1| < 1?
24. Convert -1+i into polar form.
25. If, (a + 1)x2 + 2(a+1)x + (a – 2) = 0, then, for what parameter of 'a' the given equation have real and distinct roots?

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