Coordinate Geometry
CBSE 2026 Board Exam Set 1 (Code 30/1/1)
CBSE_BOARD_PYQ_2026_30_1_1
Grade 10
Question:
[Section B]
If $Q(0, 1)$ is the midpoint of segment joining $P(-3, 4)$ and $R(x, y)$, find the coordinates of point $R$.
Step-by-Step Solution
Key Concept: Midpoint formula: $(x - 3)/2 = 0 \Rightarrow x = 3$, $(y + 4)/2 = 1 \Rightarrow y = -2$.
$\dfrac{-3 + x}{2} = 0 \Rightarrow x = 3$. [1.0 Mark]
$\dfrac{4 + y}{2} = 1 \Rightarrow y = -2$. Coordinates of $R$ are $(3, -2)$. [1.0 Mark]
Correct Answer: Coordinates of $R$ are $(3, -2)$
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.