CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Q11 Markstranspose

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

If \(A=\begin{bmatrix}\cos\theta&\sin\theta\\-\sin\theta&\cos\theta\end{bmatrix}\) satisfies \(A^T+A=I\), which listed value of \(\theta\) is correct?

(A) \(\pi/6\)
(B) \(\pi/3\)
(C) \(2\pi/3\)
(D) \(5\pi/6\)

✅ Step-by-Step Solution

Final Answer: \(\pi/3\)

The sum is 2 cos θ times I. Thus cos θ=1/2, and π/3 is the listed solution.

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

✅ Step-by-Step Solution

Master Chapter 3: Matrices

All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1

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