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If x2 = y + z, y2 = z + x, z2 = x + y,
then the value of 1 + 1 + 1 is; x + 1 x + 1 z + 1
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Correct Option: B
Tricky Approach
x2 = y + z
⇒ x2 + x = x + y + z
⇒ x (x + 1) = x + y + z ....(i)
Similarly,
y (y + 1) = x + y + z .........(ii)
and, z (z + 1) = x + y + z ...(iii)
∴ | + | + | |||
x + 1 | x + 1 | z + 1 |
= | + | + | |||
x + y + z | x + y + z | z + y + z |
⇒ | = 1 | |
x + y + z |