Algebra and Applications Test 2

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Question : 2 of 40

Marks: +1, -0

If

1/m+1/n+1/o=1/{m+n+o}

, where

m + n + o ≠ 0, mno ≠ 0

, what is the value of

(m + n) (n + o) (o + m)

?

0
1
-1
2
None of these

Solution:

Since,

1/m+1/n+1/o=1/{ m+n+o}

⇒(m+n+o)(mn+no+om)=mno

⇒(n^2+no+nm+om)(o+m)=0

⇒(m+n)(n+o)(o+m)=0

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