CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Q212 Marksmatrix_equality
CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Question 21 (Matrices)
Find x if [[6,3x],[8,−6]]=[[6,x²+2],[8,x²−5x]].
✅ Step-by-Step Solution
Final Answer: x=2.
- The upper-right entries give x²−3x+2=0, with roots 1 and 2.
- The lower-right entries give x²−5x+6=0, with roots 2 and 3.
- Only x=2 satisfies both equalities.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The upper-right entries give x²−3x+2=0, with roots 1 and 2.
- [1 mark] The lower-right entries give x²−5x+6=0, with roots 2 and 3.
- [0.5 marks] Only x=2 satisfies both equalities.
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