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CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Q151 Markstranspose

CBSE Class 12 Mathematics 2026 Main Paper 65/2/2 · Question 15 (Matrices)

For A=[[(1/2)cos x,−sin x],[sin x,(1/2)cos x]], solve A+Aᵀ=I for x∈[−π/2,π/2].

✅ Step-by-Step Solution

Final Answer: 0
  1. The off-diagonal terms cancel, leaving cos x times I. Thus cos x=1 and x=0 in the given interval.

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