Find the ratio in which the y-axis divides the line segment joining the points
(5, -6) and (-1. -4). Also find the coordinates of the point of intersection.
Answers
Question:
Find the ratio in which the y-axis divides the line segment joining the points
(5, -6) and (-1. -4). Also find the coordinates of the point of intersection.
To find:
Ratio in which y-axis divides the line segment joining points (5, -6) and (-1, -4).
And coordinates of point of intersection
Formula required:
Section formula
[ where (x,y) are the coordinates of point which divide line segment joining points (x₁, y₁) and (x₂, y₂) in the ratio m : n ]
Solution:
Let, us assume that \sf{\dfrac{m}{n}=k}
n
m
=k
then, m : n = k : 1 will be the ratio in which given line segment is divided
and, Let the coordinates of point of division be ( 0, y)
[ x coordinate would be zero because point of division lies in y-axis ]
Now,
Using Section Formula
so,
Taking
Now, taking
putting value of k
Hence,
Ratio in which line segment is divided is, k : 1 = 5 : 1.
and, Coordinates of point of intersection are
Answer:
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Explanation:
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