Question:medium
The equations \( \lambda x - y = 2 \), \( 2x - 3y = -\lambda \), and \( 3x - 2y = -1 \) are consistent for:
The equations \( \lambda x - y = 2 \), \( 2x - 3y = -\lambda \), and \( 3x - 2y = -1 \) are consistent for:
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Another way to solve this is to find the intersection point \((x, y)\) of the two equations that do not contain \(\lambda\), then substitute that point into the third equation to solve for \(\lambda\).
Updated On: May 1, 2026
- \( \lambda = -4 \)
- \( \lambda = 1, 4 \)
- \( \lambda = 1, -4 \)
- \( \lambda = -1, 4 \)
- \( \lambda = -1 \)
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The Correct Option is C
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