CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Q212 Marksmatrix_equality
CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Question 21 (Matrices)
For x>0, solve x[[2x,2],[3,x]]+2[[8,5x],[4,0]]=2[[x²+8,24],[10,8]].
✅ Step-by-Step Solution
Final Answer: x=4.
- The top-right entries give 2x+10x=48.
- Hence x=4. The bottom row also requires 3x+8=20 and x²=16.
- Both requirements hold at x=4 and the top-left entries agree identically.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The top-right entries give 2x+10x=48.
- [1 mark] Hence x=4. The bottom row also requires 3x+8=20 and x²=16.
- [0.5 marks] Both requirements hold at x=4 and the top-left entries agree identically.
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