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. 3x + 2y = 5 ; 2x โ 3y = 7 3x + 2y โ 5 = 0 2x โ 3y โ 7 = 0 3x + 2y โ 5 = 0 Comparing with a1x + b1y + c1 = 0 โด a1 = 3 , b1 = 2 , c1 = โ5 2x โ 3y โ 7 = 0 Comparing with a2x + b2y + c2 = 0 โด a2 = 2 , b2 = โ3 , c2 = โ7 a1 = 3 , b1 = 2 , c1 = โ5 & a2 = 2 , b2 = โ3 , c2 = โ7 ๐๐/๐๐ ๐1/๐2 = 3/2 ๐๐/๐๐ ๐1/๐2 = 2/(โ3) ๐1/๐2 = (โ2)/3 ๐๐/๐๐ ๐1/๐2 = (โ5)/(โ7) ๐1/๐2 = 5/7 Since ๐1/๐2 โ ๐1/๐2 We have a unique solution 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 You are here

Ex 3.2, 3 (ii) Important

Ex 3.2, 3 (iii)

Ex 3.2, 3 (iv) Important

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.