Graphically, the pair of equations 

6x – 3y + 10 = 0 

2x – y + 9 = 0  represents two lines which are 

(a)intersecting at exactly one point 

(b) intersecting at exactly two points 

(c) coincident 

(d) parallel

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Question 3 Graphically, the pair of equations 6x – 3y + 10 = 0, 2x – y + 9 = 0 represents two lines which are intersecting at exactly one point (b) intersecting at exactly two points (c) coincident (d) parallel 6x – 3y + 10 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 6 , b1 = −3 , c1 = 10 2x − y + 9 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 2 , b2 = −1 , c2 = 9 ∴ a1 = 6 , b1 = −3 , c1 = 10 & a2 = 2 , b2 = −1 , c2 = 9 Since 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 So, we have no solution Therefore, the lines represent the linear equations are parallel So, the correct answer is (D) 𝑎1/𝑎2 = 6/2 𝑎1/𝑎2 = 3 𝑏1/𝑏2 = (−3)/(−1) 𝑏1/𝑏2 = 3 𝑐1/𝑐2 = 10/9

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.