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Point A (2 1) divides segment BC in the ratio 2...

This question belongs to Arithmetic Ability Coordinate Geometry
Coordinate Geometry
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Point A (2, 1) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?

Answer & Solution
Correct Answer: Option D
Coordinate Geometry mcq question image
$$\eqalign{ & {\text{Now,}} \cr & \Rightarrow 1 = \frac{{2y - 9}}{5} \cr & \Rightarrow 5 = 2y - 9 \cr & \Rightarrow y = 7 \cr} $$
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