Find the ratio in which (11,15) divides the line segment joining the points (15,5) and (9,20)
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Greetings,
The answer to your answer is typed below↓
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Section formula: (X,Y) = [ (mx1 + nx2)/(m+n) ,(my1 + ny2)/(m+n) ]
Given:
X = 11 , Y = 15 , x1 = 15 , x2 = 9 , y1 = 5 , y2 = 20
We can use any one part of the formula to obtain the answer (X or Y)
So...
X = (mx1 + nx2)/(m+n)
11 = (m × 15 + n × 9) / (m + n)
15m - 11m = 11n - 9n
On solving we get:
m : n = 1 : 2
Therefore (11,15) divides the line in the ratio 1:2
_______________________________________________
P.S : Enjoy;)
The answer to your answer is typed below↓
___________________________________________
Section formula: (X,Y) = [ (mx1 + nx2)/(m+n) ,(my1 + ny2)/(m+n) ]
Given:
X = 11 , Y = 15 , x1 = 15 , x2 = 9 , y1 = 5 , y2 = 20
We can use any one part of the formula to obtain the answer (X or Y)
So...
X = (mx1 + nx2)/(m+n)
11 = (m × 15 + n × 9) / (m + n)
15m - 11m = 11n - 9n
On solving we get:
m : n = 1 : 2
Therefore (11,15) divides the line in the ratio 1:2
_______________________________________________
P.S : Enjoy;)
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