Question 102Asked in BPSC TRE 1.0 (2023) Mathematics Class 11-12

If A = [cos α −sin α]यदि A =

If A = [cos α −sin α] [sin α cos α] and A + A′ = I, then the value of α is
यदि A = [cos α −sin α] [sin α cos α] तथा A + A′ = I, तो α का मान है
  1. Aπ/6π/6
  2. Bπ/3π/3
  3. C2π/32π/3
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (B) π/3π/3

Explanation

A + A′ = [2cos α 0; 0 2cos α] = I requires 2 cos α = 1, so α = π/3.A + A′ = [2cos α 0; 0 2cos α] = I के लिए 2 cos α = 1 आवश्यक है, अतः α = π/3।

From BPSC TRE 1.0 (2023) Mathematics Class 11-12 — Previous Year Paper

This is question 102 of BPSC TRE 1.0 (2023) Mathematics Class 11-12 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.