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Last updated at July 23, 2021 by Teachoo

Transcript

Ex 3.2,3 On comparing the ratios ๐1/๐2 , ๐1/๐2 & ๐1/๐2 , find out whether the following pair of linear equations are consistent, or inconsistent. (iv) 5x โ 3y = 11 , โ10x + 6y = โ22 5x โ 3y โ 11 = 0 โ10x + 6y + 22 = 0 5x โ 3y โ 11 = 0 Comparing with a1x + b1y + c1 = 0 โด a1 = 5 , b1 = โ3 , c1 = โ 11 โ10x + 6y + 22 = 0 Comparing with a2x + b2y + c2 = 0 โด a2 = โ 10 , b2 = 6, c2 = 22 โด a1 = 5 , b1 = โ3 , c1 = โ 11 & a2 = โ 10 , b2 = 6, c2 = 22 ๐๐/๐๐ ๐1/๐2 = 5/(โ10) ๐1/๐2 = (โ1)/2 ๐๐/๐๐ ๐1/๐2 = (โ3)/6 ๐1/๐2 = (โ1)/2 ๐๐/๐๐ ๐1/๐2 = (โ11)/22 ๐1/๐2 = (โ1)/2 Since ๐1/๐2 = ๐1/๐2 = ๐1/๐2 We have infinitely many solutions Therefore, our system is consistent.

Ex 3.2

Ex 3.2, 1 (i)
Important

Ex 3.2, 1 (ii)

Ex 3.2, 2 (i)

Ex 3.2, 2 (ii)

Ex 3.2, 2 (iii)

Ex 3.2, 3 (i) Important

Ex 3.2, 3 (ii) Important

Ex 3.2, 3 (iii)

Ex 3.2, 3 (iv) Important You are here

Ex 3.2, 3 (v)

Ex 3.2, 4 (i)

Ex 3.2, 4 (ii)

Ex 3.2, 4 (iii) Important

Ex 3.2, 4 (iv)

Ex 3.2, 5

Ex 3.2, 6 Important

Ex 3.2, 7 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.