If (a + bi)(a - bi) = 61 and a + b = 11 then a² + b² equals?
- 61
- 62
- 63
- None of these
Explanation
(a + bi)(a - bi) is the product of conjugates.
(a + bi)(a - bi) = a² - (bi)² = a² - b²i²
Since i² = -1:
= a² - b²(-1) = a² + b²
Given (a + bi)(a - bi) = 61,
so a² + b² = 61.
Last verified on 24-05-2026
Related MCQs
- 25
- 30
- 35
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 10x = - 3
- 2x = - 27
- 2x = 27
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 1, 4, -21
- 1, 4, 21
- -1, 4, -21
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 2/x + 12/(x +5)
- 3/x + 22/(x +5)
- 4/x + 16/(x +5)
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
Leave a Reply
Your email address will not be published. Required fields are marked *
