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The point which divides the line segment joining the points (7,-6) and (1,-12) in ratio 1:2 internally lies in the

Posted by Siddharth Jangid 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

Using the section formula, if a point (x,y) divides the line joining the

points (x₁,y₁) and (x₂,y₂) internally in the

ratio m:n, then (x,y)=(mx₂+nx₁)/m+n ,(my₂+ny₁)/m+n

Substituting (x₁,y₁)=(7,−6) and (x₂,y₂)=(3,4) and m=1,n=2 in the section formula, we get

After solving we get x = 17/3 and y = -8/3

Since, x− cordinate is positive and y− cordinate is negative, the point lies in the IV quadrant.

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