Question 10 - CBSE Class 12 Sample Paper for 2024 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Feb. 10, 2025 by Teachoo

The value of |A|, if A=[0 2x-1 √x 1-2x 0 2√x -√x -2√x 0)], where x∈R^+, is

(a) (2x+1)^2 (b) 0 (c) (2x+1)^3 (d) (2x-1)^2

[Determinants Class 12 - MCQ] The value of |A|, if A = [0 2x-1 √x 1-2x - CBSE Class 12 Sample Paper for 2024 Boards

part 2 - Question 10 - CBSE Class 12 Sample Paper for 2024 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Transcript

Given 𝐴=[■(0&2𝑥−1&√𝑥@1−2𝑥&0&2√𝑥@−√𝑥&−2√𝑥&0)] Since diagonal elements are 0, this might be a skew symmetric matrix Let’s check Finding 𝑨^𝑻 𝐴^𝑇=[■(0&1−2𝑥&−√𝑥@2𝑥−1&0&−2√𝑥@√𝑥&2√𝑥&0)] 𝐴^𝑇=−[■(0&2𝑥−1&√𝑥@1−2𝑥&0&2√𝑥@−√𝑥&−2√𝑥&0)] 𝑨^𝑻= − A Since 𝐴^𝑇= −A ∴ A is a skew symmetric matrix of order 3 We know that , Determinant of every skew symmetric matrix of odd order is 0. ∴ |A| = 0 So, the correct answer is (b)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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