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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 3.2 Graphical Method of Solution of a Pair of Linear Equations § 3.4 Summary
The pair of equations $x = a$ and $y = b$ graphically represents lines which are:
  1. (a) parallel
  2. (b) intersecting at $(b, a)$
  3. (c) coincident
  4. (d) intersecting at $(a, b)$
Previously asked in CBSE board exam
2023 30/2/1 Q8
Generated by claude-sonnet-4-6 · 2026-06-15 10:33 · grounding rag
Model Answer

(d) intersecting at $(a, b)$

The line $x = a$ is vertical and $y = b$ is horizontal; they intersect at the point $(a, b)$.

Explanation

$x = a$ is a vertical line parallel to the y-axis, and $y = b$ is a horizontal line parallel to the x-axis. Every vertical and horizontal line pair intersects at exactly one point. At that point, the x-coordinate is $a$ and the y-coordinate is $b$, giving $(a, b)$ — not $(b, a)$. Option (d) is correct.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.