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The point that divides the segment joining $(1,2)$ and $(3,4)$ in the ratio $1:1$ is
A$(4,6)$
B$(2,3)$
C$(1,1)$
D$(3,4)$
Answer & Solution
Correct answer: B. $(2,3)$
1. A ratio of 1:1 means the mid-point.
2. Mid-point $=\left(\dfrac{1+3}{2},\ \dfrac{2+4}{2}\right)=(2,3)$.
3. So the point is $(2,3)$.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch7 'Coordinate Geometry', §7.3_
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