Question 4 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 13, 2024 by Teachoo

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

is inconsistent, then k =

(a) -1 (b) 0 (c) 1 (d) 2

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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 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 𝟑/((𝟐𝒌 − 𝟏)) = 𝟏/((𝒌 − 𝟏)) ≠ 𝟏/((𝟐𝒌 + 𝟏)) Thus, 𝟑/((𝟐𝒌 − 𝟏)) = 𝟏/((𝒌 − 𝟏)) 3(k − 1) = (2k − 1) 3k − 3 = 2k − 1 3k − 2k = −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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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