If \(\dfrac{a}{b+c}=\dfrac{b}{c+a}=\dfrac{c}{a+b}=k\) then value of \(k\) is
Question and options
If then value of is
- or
Answer and explanation
Correct answer: B - \(\frac{1}{2}\) or \(-1\)
Adding the numerators and denominators gives k = (a+b+c)/(2(a+b+c)) = 1/2 if a+b+c is not 0. If a+b+c = 0, then b+c = -a and k = -1. So k = 1/2 or -1.
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