Question:medium

If a system of equations
\[ a x + y + z = 0, \quad x - b y + z = 0, \quad x + y - c z = 0 \quad (a, b, c \ne -1) \]
has a non-zero solution, then
\[ \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c} = \]

Show Hint

Non-zero solution ⟹ determinant =0.
Updated On: Mar 23, 2026
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The Correct Option is B

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