Check sibling questions

If the system of equations 3x + y = 1 and (2k – 1)x + (k – 1)y = 2k + 1

Β is inconsistent, then k =

(a) -1 Β  (b) 0Β  (c) 1Β  (d) 2

Β 

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Transcript

Given equations 3x + y = 1 (2k – 1)x + (k – 1)y = 2k + 1 Now, Since equations are inconsistent It means that the lines are parallel π‘Ž1/π‘Ž2 = 𝑏1/𝑏2 β‰  𝑐1/𝑐2 πŸ‘/((πŸπ’Œ βˆ’ 𝟏)) = 𝟏/((π’Œ βˆ’ 𝟏)) β‰  𝟏/((πŸπ’Œ + 𝟏)) Thus, πŸ‘/((πŸπ’Œ βˆ’ 𝟏)) = 𝟏/((π’Œ βˆ’ 𝟏)) 3(k βˆ’ 1) = (2k βˆ’ 1) 3k βˆ’ 3 = 2k βˆ’ 1 3k βˆ’ 2k = βˆ’1 + 3 k = 2 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.