Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Most Important Questions By PW

Pair of Linear Equations in Two Variables is one of those chapters where you understand the basics, but still lose marks when questions get tricky—especially in graphs, word problems, or choosing the right method. You might end up practising a lot, yet feel unsure about whether you're focusing on the right questions for exams.

Physics Wallah’s Class 10 Maths Chapter 3 Most Important Questions are designed to fix exactly that. Instead of solving everything, you get a focused set covering graphs, substitution, elimination, and real-life word problems with clear solutions. This helps you recognise patterns, avoid common mistakes, and walk into your exam with better clarity and confidence. 

Q1. Graphically, the pair of equations  6x - 3y + 10 = 0,   2x - y + 9 =  0   represents two lines which are                              

A) Intersecting at exactly one point

B) Intersecting at exactly two points

C) Coincident

D) Parallel

Correct option: D) Parallel 

Q2. If a pair of linear equations is consistent, then the lines will be

A) Parallel

B) Always coincident

C) Intersecting or coincident

D) Always intersecting

Correct option: C) Intersecting or coincident

Q3. The pair of equations x = a and y = b graphically represents lines which are:

A) parallel

B) intersecting at (b, a)

C) coincident

D) intersecting at (a, b)

Correct option: D) intersecting at (a, b) 

Q4. The number of solutions of 3 (x + y) = 243 and 243 (x - y) = 3 is:   

A) 0

B) 1

C) 2

D) inifnite

Correct option: B) 1

Q5. One equation of a pair of dependent linear equations is -5x + 7y = 2. The second equation is:

A)   10x + 14y + 4 = 0

B) - 10x - 14y + 4 = 0

C) - 10x + 14y + 4 = 0

D)   10x - 14y = - 4

Correct option: D)  10x - 14y = - 4

Q6. The area of the triangle formed by the line xa+yb= 1 with the coordinate axes is 

A) ab

B) 2 ab

C) 1/2ab

D) 1/4ab

Correct option: C) 1/2ab

For more MIQs with step-by-step solutions and explanations: 

By practising PW’s Most Important Questions, you can quickly strengthen your concepts and improve accuracy.

These exam-oriented problems help you revise all solving methods, tackle word problems confidently, and manage time better in the exam. Go through them regularly, check your solutions, and you’ll find this chapter becoming much easier and more scoring.