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Question
The coordinates of the point C dividing the line segment joining the points P(2, 4) and Q(5, 7) internally in the ratio 2 : 1 is
Options
`(7/2, 11/2)`
(3, 5)
(4, 4)
(4, 6)
Solution
(4, 6)
Explanation;
Hint:
A line divides internally in the ratio m : n
m = 2, n = 1
x1 = 2, x2 = 5
y1 = 4, y2 = 7
The point P = `(("m"x_2 + "n"x_1)/("m" + "n"), ("m"y_2 + "n"y_1)/("m" + "n"))`
= `((10 + 2)/3, (14 + 4)/3)`
= `(12/3, 18/3)`
= (4, 6)
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