Find the ratio in which the point P (3/4, 5/12) divides the line segment joining the points A (1/2, 3/2) and B (2, -5). (CBSE 2015
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Answer: 1 : 5
Step-by-step explanation:
For a point (x,y) which divides a line segment in ratio of m : n which is joined by two points (x₁ , y₁) , (x₂ , y₂ )
The Section Formula is : (mx₂+nx₁ / m + n , my₂+ny₁ / m + n )
Just substitute the value of P, A and B ...
Calculate any one of the coordinates i.e either x or y co-od
in this case I do X-Co-od
we have, 3\4 = (2m+n\2) / m + n
on cross multiplication we get
⇒ 8m + 2n = 3m +3n
⇒5m = n
⇒ m / n = 1 / 5
⇒m : n = 1 : 5
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