In what ratio does the point (24/11, y) divide the line segment joining the points P(2, - 2) and Q(3, 7)
Coordinate Geometry (10)In what ratio does the point (24/11, y) divide the line segment joining the points P(2, -2) and Q(3, 7) ? Also find the value of y.
Answer
Let PA : AQ = k : 1
$$ \frac{2+3k}{k+1} = \frac{24}{11} $$
$$ K = \frac{2}{9} $$
Hence, the ratio is 2 : 9
$$ y = \frac{-18+14}{11} = \frac{-4}{11} $$
- Exam Year: 2017
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