Q61.Let ๐= ๐ง= ๐ฅ+ ๐๐ฆ: is a real number }. Then which of the following is NOT correct? 4๐ง+ 2๐ (1) ๐ฆ+ ๐ฅ2 + ๐ฆ2 โ - 1 (2) (๐ฅ, ๐ฆ) = 0, - 1 4 2 (3) ๐ฅ= 0 (4) ๐ฆโ- โ, - 1 โช-1 โ 2 2,
What This Question Tests
This question tests the ability to manipulate complex numbers algebraically, apply the condition for a complex number to be real, and identify the resulting locus in the complex plane.
Concepts Tested
Formulas Used
Im(z) = 0 for z to be real
z = x + iy
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๐ Question Details
- Chapter
- Complex Numbers
- Topic
- Properties of complex numbers
- Year
- 2023
- Shift
- 10 Apr Shift 2
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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