Complex Numbers and Quadratic Equations

Q: How many MCQ questions are available for Complex Numbers and Quadratic Equations?

There are 74 MCQ questions available for Complex Numbers and Quadratic Equations (Class 11 Mathematics) — 33 easy, 31 medium, and 10 hard.

Q: What topics are covered in Complex Numbers and Quadratic Equations?

Key concepts covered: Algebra of complex numbers, Argand plane, Complex numbers, Conjugate of a complex number, Fundamental theorem of algebra, Imaginary numbers, Modulus and argument, Polar form, Quadratic equations with complex roots, Square root of complex numbers.

Class 11 · Mathematics

74 questions33 easy31 medium10 hard

Sample Questions

Q1.The value of i⁴² is:

A1
B–1
Ci
D–i

Q2.The polar form of z = –1 + i is:

A√2(cos(π/4) + i sin(π/4))
B√2(cos(3π/4) + i sin(3π/4))
C√2(cos(–π/4) + i sin(–π/4))
D2(cos(3π/4) + i sin(3π/4))

Q3.What is the value of i² (where i = √–1)?

A1
B–1
Ci
D–i

Q4.The modulus of z₁z₂ satisfies:

A|z₁z₂| = |z₁| + |z₂|
B|z₁z₂| = |z₁| – |z₂|
C|z₁z₂| = |z₁| × |z₂|
D|z₁z₂| = |z₁| / |z₂|

Q5.The value of i⁻¹ (multiplicative inverse of i) is:

Ai
B–i
C1
D–1

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Algebra of complex numbersArgand planeComplex numbersConjugate of a complex numberFundamental theorem of algebraImaginary numbersModulus and argumentPolar formQuadratic equations with complex rootsSquare root of complex numbers

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