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Mathematics — CBSE Class 10 board question

Q1. [1]
The point of intersection of the line represented by $3x - y = 3$ and y-axis is given by
  1. A $(0, -3)$
  2. B $(0, 3)$
  3. C $(2, 0)$
  4. D $(-2, 0)$
Previously asked in CBSE board exam
2023 30/6/1 Q4
Generated by claude-sonnet-4-6 · 2026-06-15 10:35 · grounding rag
Model Answer

Option A: $(0, -3)$

On the y-axis, $x = 0$. Substituting in $3x - y = 3$: $3(0) - y = 3 \Rightarrow y = -3$. So the point is $(0, -3)$.

Explanation

To find intersection with the y-axis, always put $x = 0$ in the equation and solve for $y$. The x-axis intersection requires $y = 0$ instead — don't confuse the two. This is a standard 1-mark concept tested frequently.

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