Coordinate Geometry
CBSE 2026 Board Exam Set 1 (Code 30/1/1)
CBSE_BOARD_PYQ_2026_30_1_1
Grade 10
Question:
[Section A]
If the midpoint of the line segment joining $A(2a, 4)$ and $B(-2, 3b)$ is $M(1, 2a+1)$, then the values of $a$ and $b$ are respectively:
(A) $a = 2, b = 2$
(B) $a = 1, b = 2$
(C) $a = 2, b = 1$
(D) $a = 1, b = 1$
Step-by-Step Solution
Key Concept: Midpoint formula: $(2a-2)/2 = 1 \Rightarrow a = 2$. $(4+3b)/2 = 2(2)+1 = 5 \Rightarrow b = 2$.
Sol. (A) $a = 2, b = 2$. [1.0 Mark]
Correct Answer: (A) $a = 2, b = 2$
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