find the coordinates of the point which divides the line segment joining the points P(2,3) and Q(6,7) in the ratio 3:1 internally.
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Answer:
Step-by-step explanation:
Let A divides PQ internally in the ratio 3 : 1
So, the coordinates of A are
( By applying section formula ),
A ( x , y ) = [ m1x2 + m2x1/ m1 + m2 , m1y2 + m2y1 / m1 + m2 ]
= [ 3 × 6 + 1 × 2 / 3 + 1 , 3 × 7 + 1 × 3 /3 + 1 ]
= [ 18 + 2 / 4 , 21 + 3 / 4 ]
= [ 20 / 4 , 24 / 4 ]
= [ 5, 6 ]
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Step-by-step explanation:
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