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If x = 6pq , then the value of x + 3p + x + 3q is p + q x − 3p x − 3q
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- 6
- 8
- 2
- 3
Correct Option: C
| x = | = | ||
| p + q | p + q |
| ⇒ | = | ||
| 3p | p + q |
| ⇒ | = | ||
| x − 3p | 2q − p − q |
(By componendo and dividendo)
| ⇒ | = | .....(i) | ||
| x − 3p | q − p |
| Again, x = | = | ||
| p + q | p + q |
| ⇒ | = | ||
| 3q | p + q |
| ⇒ | = | ||
| x − 3q | 2p − p − q |
(By componendo and dividendo)
| ⇒ | = | .....(ii) | ||
| x − 3q | p − q |
| ∴ | + | = | + | ||||
| x − 3p | x − 3q | q − p | p − q |
| = | − | ||
| q − p | q − p |
| = | = | ||
| q − p | q − p |
| = | = 2 | |
| q − p |
