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where a, b, c are all non-zero numbers, then x equals toIf xy = a, xz = b and yz = c, x + y x + z y + z
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2abc ab + bc − ac -
2abc ab + ac − bc -
2abc ac + bc − ab -
2abc ab + bc + ac
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Correct Option: C
| = a ⇒ | = | |||
| x + y | xy | a |
| ⇒ | + | = | ...(i) | |||
| y | x | a |
| = b ⇒ | = | |||
| x + z | xz | b |
| ⇒ | + | = | ...(ii) | |||
| z | x | b |
Similarly,
| + | = | |||
| z | y | c |
| ⇒ | = | − | ...(iii) | |||
| y | c | z |
By substitution method
From equations (i) and (iii),
| − | = | − | ||||
| a | x | c | z |
| ⇒ | − | = | − | + | |||||
| a | x | c | b | x |
[From equation (ii)]
| ⇒ | + | = | − | + | |||||
| x | x | a | c | b |
| ⇒ | = | ||
| x | abc |
| ⇒ x = | |
| bc + ac − ab |
