Q62.Let ๐ง1 and ๐ง2 be two complex number such that ๐ง1 + ๐ง2 = 5 and ๐ง13 + ๐ง23 = 20 + 15๐. Then ๐ง14 + ๐ง24 equals- (1) 30โ3 (2) 75 (3) 15โ15 (4) 25โ3
What This Question Tests
This question tests the ability to manipulate algebraic identities involving complex numbers, specifically sums of powers, using given sums and sums of cubes.
Concepts Tested
Formulas Used
a^3+b^3 = (a+b)(a^2-ab+b^2)
a^2+b^2 = (a+b)^2 - 2ab
a^4+b^4 = (a^2+b^2)^2 - 2a^2b^2
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๐ Question Details
- Chapter
- Complex Numbers
- Topic
- Algebra of complex numbers
- Year
- 2024
- Shift
- 31 Jan Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers
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