The point which divides the line segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the
Question
The point which divides the line segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the
Solution
To find the point that divides the line segment joining the points (7, -6) and (3, 4) in the ratio 1:2 internally, we can use the section formula.
Let's denote the coordinates of the point we are looking for as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * x1 + 1 * x2) / (1 + 2)
where x1 and x2 are the x-coordinates of the given points. Substituting the values, we have:
x = (2 * 7 + 1 * 3) / 3 x = (14 + 3) / 3 x = 17 / 3
Similarly, the y-coordinate of the point is given by:
y = (2 * y1 + 1 * y2) / (1 + 2)
Substituting the values, we have:
y = (2 * -6 + 1 * 4) / 3 y = (-12 + 4) / 3 y = -8 / 3
Therefore, the point that divides the line segment joining the points (7, -6) and (3, 4) in the ratio 1:2 internally is (17/3, -8/3).
Similar Questions
One of the two points of trisection of the line segment joining the points A(7, –2) and B(1, –5) which divides the line in the ratio 1 : 2 is :
In which ratio the y-axis divides the line segment joining the points (5, – 6) and (–1, – 4)?
If p divides a line segment AB, A ( 1 , 2) and ( 7,5) in the ratio 1:2 P is ____a.( - 3, 0)b.( -3 , -3)c.( 3, 3)d.( 2, 3)
A point which divides the join of A (-3, 4) and B (9, 6) internally in the ratio 3:2 is:
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