A point which divides the join of A (-3, 4) and B (9, 6) internally in the ratio 3:2 is:
Question
A point which divides the join of A (-3, 4) and B (9, 6) internally in the ratio 3:2 is:
Solution
To find the point that divides the line segment AB internally in the ratio 3:2, we can use the section formula.
Let's assume that the point dividing AB internally is P(x, y).
According to the section formula, the coordinates of P can be calculated as follows:
x = (2 * x2 + 3 * x1) / (2 + 3) y = (2 * y2 + 3 * y1) / (2 + 3)
where (x1, y1) are the coordinates of point A (-3, 4) and (x2, y2) are the coordinates of point B (9, 6).
Plugging in the values, we get:
x = (2 * 9 + 3 * -3) / (2 + 3) y = (2 * 6 + 3 * 4) / (2 + 3)
Simplifying the equations, we have:
x = (18 - 9) / 5 y = (12 + 12) / 5
x = 9 / 5 y = 24 / 5
Therefore, the point that divides the line segment AB internally in the ratio 3:2 is P(9/5, 24/5).
Similar Questions
The point which divides the line segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the
A(2, 4) and B(8, 12) are two ends of a line segment. Find the point which divides AB internally in the ratio 1:3
In which ratio the y-axis divides the line segment joining the points (5, – 6) and (–1, – 4)?
Find a relation between x and y, such that the point (x, y) is equidistant from the points (3,6) and (-3,4)
What is the ratio in which the line segment joining (2,-3) and (5, 6) is divided by x-axis?(a) 1:2 (b) 2:1 (c) 2:5 (d) 5:2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.