CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Q81 Markstranspose
CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Question 8 (Matrices)
For A=[[tan x,cot x],[−cot x,tan x]], solve A+Aᵀ=2I for x∈[0,π/2] where A is defined.
✅ Step-by-Step Solution
Final Answer: π/4
- Adding the transpose cancels the off-diagonal entries and gives 2 tan x times I. Thus tan x=1, giving x=π/4.
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