CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Q41 Markstranspose

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Question 4 (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.

Master Chapter 3: Matrices

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Matrices.

📘 Chapter Notes & All Exercises 🚀 Open in Interactive Workspace →

← Previous Question

For \(f(x)=-|x+1|+5\), which statement is true?

Next Question →

For a square matrix A, which statement is not generally true?

All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30 Q31 Q32 Q33 Q34 Q35 Q36 Q37 Q38

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Question 4 (Matrices)

✅ Step-by-Step Solution

Master Chapter 3: Matrices

All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3

Related Questions in Matrices