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Question 43 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at March 22, 2023 by

Β The fault line 3x + y – 9 = 0 divides the line joining the Country P(1, 3) and Country Q(2, 7) internally in the ratio

(a) 3 : 4 Β  (b) 3 : 2 Β  (c) 2 : 3 Β  (d) 4 : 3

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Question 43 The fault line 3x + y – 9 = 0 divides the line joining the Country P(1, 3) and Country Q(2, 7) internally in the ratio (a) 3 : 4 (b) 3 : 2 (c) 2 : 3 (d) 4 : 3 Using section formula x = (π’ŽπŸ π’™πŸ + π’ŽπŸ π’™πŸ)/(π’ŽπŸ + π’ŽπŸ) x = (π‘˜ Γ— 2 + 1 Γ— 1)/(π‘˜ + 1) x = (πŸπ’Œ + 𝟏)/(π’Œ + 𝟏) y = (π’ŽπŸ π’šπŸ + π’ŽπŸ π’šπŸ)/(π’ŽπŸ + π’ŽπŸ) y = (π‘˜ Γ— 7 + 1 Γ— 3)/(π‘˜ + 1) y = (πŸ•π’Œ + πŸ‘)/(π’Œ + 𝟏) Since point Z lies on line It will satisfy it’s equation Putting values of x and y in equation 3x + y βˆ’ 9 = 0 πŸ‘((πŸπ’Œ+ 𝟏)/(π’Œ + 𝟏))+(πŸ•π’Œ + πŸ‘)/(π’Œ + 𝟏) βˆ’ 9 = 0 (3(2π‘˜+ 1))/(π‘˜ + 1)+(7π‘˜ + 3)/(π‘˜ + 1) βˆ’ 9 = 0 (6π‘˜ + 3)/(π‘˜ + 1)+(7π‘˜ + 3)/(π‘˜ + 1) βˆ’ 9 = 0 (6π‘˜ + 3 + 7π‘˜ + 3)/(π‘˜ + 1) βˆ’ 9 = 0 (13π‘˜ + 6)/(π‘˜ + 1) βˆ’ 9 = 0 (13π‘˜ + 6 βˆ’ 9(π‘˜ + 1))/(π‘˜ + 1) = 0 (13π‘˜ + 6 βˆ’ 9π‘˜ βˆ’ 9)/(π‘˜ + 1) = 0 (πŸ’π’Œ βˆ’ πŸ‘)/(π’Œ + 𝟏) = 0 4k βˆ’ 3 = 0 4k = 3 k = πŸ‘/πŸ’ ∴ Required ratio is 3 : 4 So, the correct answer is (a)

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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.