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If P = 4xy , find the value of x + y P + 2x + P + 2y . P − 2x P − 2y
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- 4
- 1
- 2
- 6
Correct Option: C
We have
| P = | = | ||
| x + y | x + y |
| ⇒ | = | ||
| 2x | x + y |
| and, | = | ||
| 2y | x + y |
| Now , | = | ||
| 2x | x + y |
On applying componendo and dividendo , we have
| = | ||
| P − 2x | 2y − x − y |
| = | ...(i) | |
| y − x |
| Again , | = | ||
| 2y | x + y |
| ⇒ | = | ||
| P − 2y | 2x − x − y |
| = | ...(ii) | |
| x − y |
(i) and (ii)
| + | ||
| P − 2x | P − 2y |
| = | + | ||
| y − x | x − y |
| = | + | ||
| x − y | y − x |
| = | − | ||
| x − y | x − y |
| = | |
| x − y |
| = | = 2 | |
| x − y |
