chapter-3 ex 3.1 Q2 - Pair of linear Equations in Two Variables
Q.2. On comparing the ratios a1/a2, b1/b2 and c1/c2, find out whether the lines representing the following pairs of linear equations intersect at a point or parallel or coincident:
(i) 5x – 4y + 8 = 0
7x + 6y – 9 = 0
a1/a2=5/7, b1/b2=-4/6=-2/3
c1/c2=8/-9
from the above we can say a1/a2≠b1/b2
this formula belongs to Intersect at point
(ii) 9x + 3y + 12 = 0
18x + 6y + 24 = 0
a1/a2=9/18=1/2, b1/b2=3/6=1/2
c1/c2=12/24=1/2
from the above we can say a1/a2=b1/b2=c1/c2
this formula belongs to coincident
(iii) 6x – 3y + 10 = 0
2x – y + 9 = 0
a1/a2=6/2=3, b1/b2=-3/-1=3
c1/c2=10/9
from the above we can say a1/a2=b1/b2≠c1/c2
this formula belongs to parallel
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cbse class 10 maths
Name of Chapter: Pair of Linear Equations in Two Variables
Chapter 3
Exercise 3.1 Q.2
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