Question:medium

If the system of equations \[ x + y + z = 1,\quad x + 2y + 4z = K,\quad x + 4y + 10z = K^2 \] is consistent, then \(K =\)

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For consistency of three equations in three unknowns, the determinant of the coefficient matrix may be zero; then check the augmented matrix rank.
Updated On: May 12, 2026
  • \(1, -2\)
  • \(-1, 2\)
  • \(1, 2\)
  • \(-1, -2\)
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The Correct Option is C

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