Q62.If the equation a z 2 + αz + αz + d = 0 represents a circle where a, d are real constants then which of the following condition is correct? (1) |α|2 −ad ≠0 (2) |α|2 −ad > 0 and a ∈R −{0} (3) |α|2 −ad ≥0 and a ∈R (4) α = 0, a, d ∈R+
What This Question Tests
This question requires knowledge of the general equation of a circle in the complex plane and the conditions on its coefficients for it to represent a valid circle.
Concepts Tested
Formulas Used
zz̄ + αz + ᾱz̄ + d = 0 for a circle
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Equation of a circle in complex plane
- Year
- 2021
- Shift
- 18 Mar Shift 1
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers
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