CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at Feb. 11, 2025 by Teachoo
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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)
