Find the value of ab + bc + ca, when a² + b² + c² = 12 and a + b + c = 5?
- 13/2
- 9/2
- 17/2
- None of these
Explanation
Given:
a² + b² + c² = 12
a + b + c = 5
We know that:
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
Expanding the equation:
5² = 12 + 2(ab + bc + ca)
25 = 12 + 2(ab + bc + ca)
Subtract 12 from both sides:
13 = 2(ab + bc + ca)
Divide by 2:
ab + bc + ca = 13/2
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Your email address will not be published.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 *