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Ex 3.5
Ex 3.5, 1 (ii) Important Deleted for CBSE Board 2023 Exams
Ex 3.5, 1 (iii) Deleted for CBSE Board 2023 Exams
Ex 3.5, 1 (iv) Important Deleted for CBSE Board 2023 Exams
Ex 3.5, 2 (i) Important
Ex 3.5, 2 (ii)
Ex 3.5, 3
Ex 3.5, 4 (i)
Ex 3.5, 4 (ii)
Ex 3.5, 4 (iii)
Ex 3.5, 4 (iv) Important
Ex 3.5, 4 (v) Important
Last updated at March 22, 2023 by Teachoo
Ex 3.5, 1 Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method x – 3y – 3 = 0 3x – 9y – 2 = 0 x – 3y – 3 = 0 3x – 9y – 2 = 0 x – 3y – 3 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 1, b1 = –3, c1 = –3 3x – 9y – 2 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 3, b2 = –9, c2 = –2 a1 = 1, b1 = –3, c1 = –3 & a2 = 3, b2 = –9, c2 = –2 𝒂𝟏/𝒂𝟐 𝑎1/𝑎2 = 1/3 𝒃𝟏/𝒃𝟐 𝑏1/𝑏2 = (−3)/(−9) 𝑏1/𝑏2 = 1/3 𝒄𝟏/𝒄𝟐 𝑐1/𝑐2 = (−3)/(−2) Since 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 We have no solution.