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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Q212 Marksmatrix_equations

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Question 21 (Matrices)

Solve \(\begin{bmatrix}x^2\\y^2\end{bmatrix}-3\begin{bmatrix}x\\3y\end{bmatrix}=\begin{bmatrix}-2\\-20\end{bmatrix}\).

✅ Step-by-Step Solution

Final Answer: x∈{1,2}, y∈{4,5}, independently.
  1. Match the two entries to get x²−3x+2=0 and y²−9y+20=0.
  2. Factor as (x−1)(x−2)=0 and (y−4)(y−5)=0.
  3. Thus the four pairs are (1,4),(1,5),(2,4),(2,5).

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Match the two entries to get x²−3x+2=0 and y²−9y+20=0.
  • [1 mark] Factor as (x−1)(x−2)=0 and (y−4)(y−5)=0.
  • [0.5 marks] Thus the four pairs are (1,4),(1,5),(2,4),(2,5).

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