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

Q1. [1] § 7.2 Distance Formula
The distance of a point A from $x$-axis is 3 units. Which of the following cannot be coordinates of the point A ?
  1. (a) $(1, 3)$
  2. (b) $(-3, -3)$
  3. (c) $(-3, 3)$
  4. (d) $(3, 1)$
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Model Answer

(d) (3, 1)

The distance of a point from the x-axis is its y-coordinate (ordinate). For distance to be 3 units, |y| must equal 3. In option (d), the y-coordinate is 1 ≠ 3, so (3, 1) cannot be coordinates of point A.

Explanation

The key concept from Section 7.1: "The distance of a point from the x-axis is called its y-coordinate, or ordinate." So the ordinate (y-value) must be ±3. Check each option: (a) y = 3 ✓, (b) y = −3 ✓, (c) y = 3 ✓, (d) y = 1 ✗. Option (d) fails.

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