Coordinate Geometry
NCERT Exemplar
CBSE
Grade 10
Question:
The midpoint of the line segment joining the points $A(-2, 8)$ and $B(-6, -4)$ is:
(a) $(-4, 2)$
(b) $(4, -2)$
(c) $(-2, 6)$
(d) $(-4, 6)$
Step-by-Step Solution
Key Concept: Midpoint formula: $\left(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\right)$.
$M = \left(\dfrac{-2 + (-6)}{2}, \dfrac{8 + (-4)}{2}\right) = \left(\dfrac{-8}{2}, \dfrac{4}{2}\right) = (-4, 2)$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating midpoint $(-4, 2)$: 1.0 Mark
Correct Answer: $(-4, 2)$
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