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find the coordinates of poiny P, iff P d...

find the coordinates of poiny P, iff P divides the line segment
joining the point A(-2,7) and B(4,-3) in the ratio ` 2: 3 ` .

Text Solution

AI Generated Solution

To find the coordinates of point P that divides the line segment joining points A(-2, 7) and B(4, -3) in the ratio 2:3, we can use the section formula. The section formula states that if a point P divides the line segment joining two points A(x1, y1) and B(x2, y2) in the ratio m1:m2, then the coordinates of point P (x, y) can be calculated as follows: 1. **Identify the coordinates and the ratio**: - A(x1, y1) = A(-2, 7) - B(x2, y2) = B(4, -3) - The ratio m1:m2 = 2:3 2. **Apply the section formula**: ...
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