Question:
If \( \frac{a}{b+c} = \frac{b}{c+a} = \frac{c}{a+b} = r \), then \( r \) cannot take any value except.
If \( \frac{a}{b+c} = \frac{b}{c+a} = \frac{c}{a+b} = r \), then \( r \) cannot take any value except.
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For such fractional equations, try to manipulate the ratios to eliminate one of the variables and check for feasible values.
Updated On: Mar 23, 2026
- \( \frac{1}{2} \)
- -1
- \( \frac{1}{2} \) or -1
- \( -\frac{1}{2} \) or -1
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
From the given relations, we can derive that the only possible value of \(r\) is \( \frac{1}{2} \). Other values do not satisfy the equality condition for all terms in the equation.
\[
\boxed{\frac{1}{2}}
\]
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