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Class 12 Determinants · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Determinants · Assertion Reason #29

Assertion: The equations 2x−y=17 and 3x+5y=6 are consistent. Reason: A square system of linear equations is consistent if its coefficient determinant is nonzero.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. The coefficient determinant is 2·5−(−1)·3=13≠0, so the criterion guarantees a unique solution and hence consistency.

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