Question 2. On comparing the ratios a1/a2 , b1/b2 and c1/c2, find out whether the lines re Chapter 3: Pair of Linear Equations in Two Variable Maths Class 10 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 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, are parallel or coincident: is solved by our expert teachers. You can get ncert solutions and notes for class 10 chapter 3 absolutely free. NCERT Solutions for class 10 Maths Chapter 3: Pair of Linear Equations in Two Variable is very essencial for getting good marks in CBSE Board examinations
Question 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, are parallel or coincident:
Use this table for the solution
S.N. | Compare the Ratio | Graphic representation | Algebraic interpretation | Linear equations |
1 |
| Intersection lines at one point | Exactly one solution or | Consistent |
2 |
| Coincident line | Infinity solution or many solutions | Dependent and consistent |
3 |
| Parallel lines | No solution | Inconsistent |
Solution: (i)
5x – 4y + 8 = 0
7x + 6y – 9 = 0
Compare the equation with
We get
a1 = 5, b1 = -4, and c1 = 8
a2 =7 b2 =6 and c2 = -9
Hence
So both are Intersecting lines at one point
(ii)9x + 3y + 12 = 0
18x + 6y + 24 = 0
Compare the equation with
We get
a1 = 9, b1 = 3, and c1 = 12
a2 =18 b2 =6, and c2 = 24
Hence
So both lines are coincident
(iii)6x – 3y + 10 = 0
2x – y + 9 = 0
Compare the equation with
We get
a1 = 6, b1 =- 3, and c1 = 10
a2 =2 b2 =-1, and c2 = 9
Hence
So both lines are parallel
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