Class 10 Mathematics Chapter 3: Pair of Linear Equations in Two Variables — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 3: Pair of Linear Equations in Two Variables. Try the solved questions below, then take a free test with instant marking and explanations.
58 questions16 easy, 27 medium, 15 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Akhila’s rides x and Hoopla games y satisfy y = x/2 and 3x + 4y = 20. What kind of mathematical object is this?
- A pair of linear equations in two variables
- A quadratic equation
- A single linear equation in one variable
- A polynomial of degree 3
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Answer: A. A pair of linear equations in two variables
Why: Two conditions, two unknowns. [p.24]
Why: Two conditions, two unknowns. [p.24]
Q2. A pair of linear equations that has at least one solution is called ______.
- consistent
- inconsistent
- parallel
- dependent only
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Answer: A. consistent
Why: No solution = inconsistent. [p.25]
Why: No solution = inconsistent. [p.25]
Q3. Two lines in the plane can be related in how many different ways?
- Three: intersecting, parallel or coincident
- Two: parallel or perpendicular
- Only one: intersecting
- Four
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Answer: A. Three: intersecting, parallel or coincident
Why: Each case gives a different number of solutions. [p.25]
Why: Each case gives a different number of solutions. [p.25]
Q4. The graphs of x + 3y = 6 and 2x − 3y = 12 are shown. Read off the x-coordinate of the point where they meet.
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Answer: 6 (± 0)
Why: They meet at B(6, 0). [p.27]
Why: They meet at B(6, 0). [p.27]
Q5. Champa’s pants x and skirts y satisfy y = 2x − 2 and y = 4x − 4, whose graphs are shown. How many pants did she buy?
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Answer: 1 (± 0)
Why: The lines meet at (1, 0): 1 pair of pants, 0 skirts. [p.27]
Why: The lines meet at (1, 0): 1 pair of pants, 0 skirts. [p.27]
Q6. The graphs of 3x + y = 14 and y = 2 are shown. Find x at their point of intersection.
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Answer: 4 (± 0)
Why: y = 2 gives 3x = 12, x = 4. Board pattern question (solve graphically). [p.25]
Why: y = 2 gives 3x = 12, x = 4. Board pattern question (solve graphically). [p.25]
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Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 3: Pair of Linear Equations in Two Variables?
58 questions (16 easy, 27 medium, 15 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.