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Coordinate Geometry

RD Sharma

CBSE

Grade 10

Question:

If $A(1, 3), B(-1, 2), C(2, 5)$ and $D(x, 4)$ are the vertices of a parallelogram $ABCD$, then $x$ is:
(a) $4$
(b) $3$
(c) $2$
(d) $5$

Step-by-Step Solution

Key Concept: $x_A + x_C = x_B + x_D \Rightarrow 1 + 2 = -1 + x \Rightarrow x = 4$.

$1 + 2 = -1 + x \Rightarrow 3 = -1 + x \Rightarrow x = 4$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Solving $x = 4$: 1.0 Mark

Correct Answer: $4$

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