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[Video] The value of k for which system of equations 3x-ky= 7 & 6x+10y - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard

part 2 - Question 2 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10
part 3 - Question 2 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 2 The value of k for which the system of equations 3š‘„āˆ’š‘˜š‘¦=7 and 6š‘„+10š‘¦=3 is inconsistent, is (A) – 10 (B) -5 (C) 5 (D) 7Since the system of equations is inconsistent It has no solution Finding ratios šŸ‘š’™āˆ’š’Œš’šāˆ’šŸ•=šŸŽ Comparing with a1x + b1y + c1 = 0 ∓ a1 = 3 , b1 = āˆ’k , c1 = āˆ’7 šŸ”š’™+šŸšŸŽš’šāˆ’šŸ‘=šŸŽ Comparing with a2x + b2y + c2 = 0 ∓ a2 = 6 , b2 = 10, c2 = āˆ’3 š’‚šŸ/š’‚šŸ š‘Ž1/š‘Ž2 = 3/6 š‘Ž1/š‘Ž2 = 1/2 š’ƒšŸ/š’ƒšŸ š‘1/š‘2 = (āˆ’š‘˜)/10 š’„šŸ/š’„šŸ š‘1/š‘2 = (āˆ’7)/(āˆ’3) š‘1/š‘2 = 7/3 Since the equations don’t have a solution š‘Ž1/š‘Ž2 = š‘1/š‘2 ≠ š‘1/š‘2 1/2=(āˆ’š‘˜)/10≠7/3 Thus, 1/2=(āˆ’š‘˜)/10 10/2=āˆ’š‘˜ 5 = āˆ’k āˆ’5 = k k = āˆ’5 So, the correct answer is (B)

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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 15 years. He provides courses for Maths, Science and Computer Science at Teachoo