CBSE Class 12 Sample Paper for 2023 Boards

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Question 12 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 12, 2026 by

If |2&4 5&1)|=|(2x&4 6&x)|, ๐‘กโ„Ž๐‘’๐‘› ๐‘กโ„Ž๐‘’ ๐‘๐‘œ๐‘ ๐‘ ๐‘–๐‘๐‘™๐‘’ value(s) of โ€˜xโ€™ is/are

(a) 3 ย 

(b) โˆš3ย 

(c) -โˆš3ย  ย 

(d) โˆš3, -โˆš3

ย 

[MCQ] If Determinant |2 4 5 1| = |2x 4 6 x|, then possible value of x - CBSE Class 12 Sample Paper for 2023 Boards

part 2 - Question 12 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Transcript

Question 12 If |โ– 8(2&4@5&1)|=|โ– 8(2๐‘ฅ&4@6&๐‘ฅ)|, ๐‘กโ„Ž๐‘’๐‘› ๐‘กโ„Ž๐‘’ ๐‘๐‘œ๐‘ ๐‘ ๐‘–๐‘๐‘™๐‘’ value(s) of โ€˜xโ€™ is/are (a) 3 (b) โˆš3 (c) โˆ’โˆš3 (d) โˆš3, โˆ’โˆš3Given |โ– 8(2&4@5&1)|=|โ– 8(2๐‘ฅ&4@6&๐‘ฅ)| 2 ร— 1 โˆ’ 5 ร— 4 = 2x ร— x โˆ’ 6 ร— 4 2 โˆ’ 20 = 2x2 โˆ’ 24 โˆ’18 = 2x2 โˆ’ 24 โˆ’18 + 24 = 2x2 6 = 2x2 2x2 = 6 x2 = 6/2 x2 = 3 x = ยฑ โˆš๐Ÿ‘ Thus, x = โˆš3, โˆ’โˆš3 So, the correct answer is (d)

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