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Example 15 - Find value of p for which 4x + py + 8 = 0 - Examples

Example 15 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 2

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Example 15 For which values of p does the pair of equations given below has unique solution? 4x + py + 8 =0 2x + 2y + 2 = 0 4x + py + 8 = 0 2x + 2y + 2 = 0 4x + py + 8 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 4 , b1 = p , c1 = 8 2x + 2y + 2 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 2 , b2 = 2 , c2 = 2 So, a1 = 4 , b1 = p , c1 = 8 & a2 = 2 , b2 = 2 , c2 = 2 Since equations has unique number of solutions 𝒂𝟏/𝒂𝟐 ≠ 𝒃𝟏/𝒃𝟐 4/2 ≠ 𝑝/2 𝑝/2 "≠" 4/2 p "≠" 𝟒 So, for all values of p except 4, We will have a unique solution for the given set of questions

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.