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

Last updated at Dec. 13, 2024 by Teachoo

This question is similar to CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
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Transcript

Question 2 The value of k for which the system of equations 3𝑥−𝑘𝑦=7 and 6𝑥+10𝑦=3 is inconsistent, is (A) – 10 (B) -5 (C) 5 (D) 7Since the system of equations is inconsistent It has no solution Finding ratios 𝟑𝒙−𝒌𝒚−𝟕=𝟎 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 3 , b1 = −k , c1 = −7 𝟔𝒙+𝟏𝟎𝒚−𝟑=𝟎 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 6 , b2 = 10, c2 = −3 𝒂𝟏/𝒂𝟐 𝑎1/𝑎2 = 3/6 𝑎1/𝑎2 = 1/2 𝒃𝟏/𝒃𝟐 𝑏1/𝑏2 = (−𝑘)/10 𝒄𝟏/𝒄𝟐 𝑐1/𝑐2 = (−7)/(−3) 𝑐1/𝑐2 = 7/3 Since the equations don’t have a solution 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 1/2=(−𝑘)/10≠7/3 Thus, 1/2=(−𝑘)/10 10/2=−𝑘 5 = −k −5 = k k = −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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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