-
If x = 4ab (a ≠ b) , the value of x + 2a + x + 2b is; a + b x − 2a x − 2b
-
- a
- b
- 2ab
- 2
Correct Option: D
| x = | ⇒ | = | |||
| a + b | 2a | a + b |
By componendo and dividendo,
| = | = | |||
| x − 2a | 2b − a − b | b − a |
| Similarly, | = | ||
| 2b | a + b |
| ⇒ | = | = | |||
| x − 2a | 2b − a − b | a − b |
| ∴ | + | ||
| x − 2a | x − 2b |
| = | + | ||
| b − a | a − b |
| = | = | ||
| b − a | b − a |
| = | = 2 | |
| b − a |
