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If x = 8ab (a ≠ b), then the value of x + 4a + x + 4b is a + b x − 4a x − 4b
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Correct Option: C
| x = | |
| a + b |
| ⇒ | = | ||
| 4a | a + b |
By componendo and dividendo,
| = | ||
| x − 4a | 2b − a − b |
| = | ..... (i) | |
| b − a |
Again,
| x = | |
| a + b |
| = | ||
| 4b | a + b |
By componendo and dividendo,
| = | = | |||
| x − 4b | 2a − a − b | a − b |
| ∴ | + | ||
| x − 4a | x − 4b |
| = | + | ||
| b − a | a − b |
| = | − | ||
| b − a | b − a |
| = | |
| b − a |
| = | = | = 2 | ||
| b − a | b − a |
