If A (3,5) B (2,-5) and point
Q divides
segment AB in the ratio 2:3 then
Coordinates of point Q
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Answer:
Step-by-step explanation:
If a point (x,y) divides the line segment joining the points A(x1,y1) and B(x2,y2) in the ratio m:n , then
x=m+nmx2+nx1
y=m+nmy2+ny1
Here,
m:n = 3:4
(x1,y1)=(2,5)
Let the coordinates of B are (x2,y2)
Then,
−1=3+43x2+4(2)
−1=73x2+8
3x2+8=−7
x2=−5
And,
2=3+43y2+4(5)
2
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