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Coordinate Geometry

RD Sharma

CBSE

Grade 10

Question:

The point on $x$-axis which is equidistant from the points $A(-1, 0)$ and $B(5, 0)$ is:
(a) $(0, 2)$
(b) $(2, 0)$
(c) $(3, 0)$
(d) $(2, 2)$

Step-by-Step Solution

Key Concept: Midpoint of $A(-1,0)$ and $B(5,0)$ is $\left(\dfrac{-1+5}{2}, 0\right) = (2, 0)$.

$M = \left(\dfrac{4}{2}, 0\right) = (2, 0)$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Finding midpoint $(2, 0)$: 1.0 Mark

Correct Answer: $(2, 0)$

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