Q62.For all ๐งโ๐ถ on the curve ๐ถ1: | ๐ง| = 4, let the locus of the point z + 1 be the curve ๐ถ2. Then z (1) the curves C1 and C2intersect at 4 points (2) the curves ๐ถ1 lies inside ๐ถ2 (3) the curves ๐ถ1 and ๐ถ2 intersect at 2 points (4) the curves ๐ถ2 lies inside ๐ถ1
What This Question Tests
This question asks to determine the locus of a complex number expression given the locus of the initial complex number, requiring algebraic manipulation and geometric interpretation in the complex plane.
Concepts Tested
Formulas Used
|z| = 4
z + 1/z
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๐ Question Details
- Chapter
- Complex Numbers
- Topic
- Locus of complex numbers
- Year
- 2023
- Shift
- 31 Jan Shift 1
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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