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Class 9 Mathematics — Chapter 4: Linear Equations in Two Variables

90 practice questions · 30 Easy · 30 Medium · 30 Hard

Free NCERT-aligned multiple-choice practice for Class 9 Mathematics, Chapter 4 (Linear Equations in Two Variables). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 90.

Sample questions

Q1Easy

Is (2, 3) a solution of 2x + 3y = 13?

A.Yes✓ correct
B.No
C.Cannot determine
D.Only if x=2
Why

2(2)+3(3)=4+9=13 ✓. So (2,3) satisfies the equation.

Q2Medium

Write three solutions of x + 2y = 6. Which set is correct?

A.(0,3),(6,0),(2,2)✓ correct
B.(0,6),(3,0),(1,2)
C.(1,2),(3,1),(6,0)
D.(0,6),(2,2),(4,1)
Why

Check: 0+6=6✓, 6+0=6✓, 2+4=6✓. Set (0,3),(6,0),(2,2) all work.

Q3Hard

The line 2x + 3y = 12 meets the x-axis at A and the y-axis at B. Find the area of triangle OAB.

A.12✓ correct
B.6
C.8
D.10
Why

x-intercept: A=(6,0). y-intercept: B=(0,4). Area=½×OA×OB=½×6×4=12 sq units.

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