Q52.If Re( 2z+iz−1 ) = 1, where z = x + iy, then the point (x, y) lies on a (1) circle whose centre is at (−12 , −32 ) (2) straight line whose slope is −23 (3) straight line whose slope is 3 2 (4) circle whose diameter is √52
What This Question Tests
This question tests the ability to perform arithmetic operations with complex numbers and then determine the locus of points satisfying a given condition on the real part of the resulting complex number.
Concepts Tested
Formulas Used
z = x + iy
Re(Z) = X
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Locus in complex plane
- Year
- 2020
- Shift
- 07 Jan Shift 1
- Q Number
- Q52
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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