Example 15 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables (Term 1)
Last updated at Dec. 18, 2020 by
Transcript
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
Examples
Example 1
Example 2
Example 3
Example 4 Important
Example 5
Example 6 Important
Example 7
Example 8
Example 9
Example 10 Important
Example 11 Important
Example 12
Example 13 Important
Example 14 Important
Example 15 You are here
Example 16 Important
Example 17
Example 18 Important
Example 19 Important
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.
