Mathematics · 2014
JEE Main · 9 April 2014, Shift 1 · Q65
If a, b, c are non - zero real numbers and if the system of equations ( a -1) x=y+z, ( b -1) y=z+x, ( c -1) z=x+y, has a non-trivial solution, then…
If a, b, c are non - zero real numbers and if the system of equations
$$\begin{aligned}
& (\mathrm{a}-1) x=y+z, \\
& (\mathrm{~b}-1) y=z+x, \\
& (\mathrm{c}-1) z=x+y,
\end{aligned}
$$
has a non-trivial solution, then $\displaystyle \mathrm{ab}+\mathrm{bc}+\mathrm{ca}$ equals :
Official answer
(2)
abc
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.