Complex Numbers and Quadratic Equations — Important Questions
CBSE · Class 11 · Mathematics
168 important questions from Complex Numbers and Quadratic Equations for CBSE Class 11 Mathematics, with answers.
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Important Questions from Complex Numbers and Quadratic Equations
Which statement about complex numbers is true?
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Complex numbers have both real and imaginary components
Complex numbers are defined by having both a real part and an imaginary part, represented in the form a + bi.
What is the modulus of the complex number 3 + 4i?
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5
The modulus is calculated as √(a² + b²), so for 3 + 4i: √(3² + 4²) = √(9 + 16) = √25 = 5
What is i³?
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-i
i³ = i² * i = (-1) * i = -i
The conjugate of 2 + 3i is:
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2 - 3i
The conjugate of a complex number changes the sign of the imaginary part.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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