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If |2&4 5&1)|=|(2x&4 6&x)|, ๐‘กℎ๐‘’๐‘› ๐‘กℎ๐‘’ ๐‘๐‘œ๐‘ ๐‘ ๐‘–๐‘๐‘™๐‘’ value(s) of ‘x’ is/are

(a) 3  

(b) √3 

(c) -√3   

(d) √3, -√3

 

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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.