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Mathematics — CBSE Class 10 board question

Q1. [1]
The distance between the points $P\left(\dfrac{11}{3}, 5\right)$ and $Q\left(\dfrac{2}{3}, 5\right)$ is :
  1. (a) 6 units
  2. (b) 4 units
  3. (c) 2 units
  4. (d) 3 units
Previously asked in CBSE board exam
2023 30/5/1 Q7
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

(d) 3 units

Since the y-coordinates are equal, $PQ = \left|\dfrac{11}{3} - \dfrac{2}{3}\right| = \dfrac{9}{3} = 3$ units.

Source: Chapter 7, Section 7.2 (Distance Formula)

Explanation

When two points have the same y-coordinate, the distance is simply the absolute difference of the x-coordinates. No need for the full distance formula. Watch for fractions — subtract carefully: $\frac{11}{3} - \frac{2}{3} = \frac{9}{3} = 3$.

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