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 April 16, 2024 by Teachoo

If |2&4 5&1)|=|(2x&4 6&x)|, 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 value(s) of ‘x’ is/are

(a) 3

(b) √3

(c) -√3

(d) √3, -√3

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Transcript

Question 12 If |■8(2&4@5&1)|=|■8(2𝑥&4@6&𝑥)|, 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 value(s) of ‘x’ is/are (a) 3 (b) √3 (c) −√3 (d) √3, −√3Given |■8(2&4@5&1)|=|■8(2𝑥&4@6&𝑥)| 2 × 1 − 5 × 4 = 2x × x − 6 × 4 2 − 20 = 2x2 − 24 −18 = 2x2 − 24 −18 + 24 = 2x2 6 = 2x2 2x2 = 6 x2 = 6/2 x2 = 3 x = ± √𝟑 Thus, x = √3, −√3 So, the correct answer is (d)

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