Find the point which divides the line segment joining the points A (5, 7) and B (8, 4) in the ratio 3 : 5.

### Asked by Topperlearning User | 26th Sep, 2014, 01:57: PM

Expert Answer:

Let the coordinates of point C which divides the line segment AB in the ratio 3:5 is C (x, y).

### Answered by | 26th Sep, 2014, 03:57: PM

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- find a and b so that the lines ax+8y+b=0,2x+ay-1=0 may be parallel or perpendicular
- Find the coordinates of point C, which divides the line segment joining the points D (-2, 5) and E (4, 6) in the ratio 2 : 3.
- If the slope of line joining the points (2, 3) and (4, -5) is equal to the slope of line joining the points (x, 5) and (5, 6). Find the value of x.
- Find the slope of line which passes through the point (5, 6) and the mid-point of line joining the points (4, 6) and (-3, 7).
- If three points (3, 6), (-5, 7) and (x, 1) are collinear, find the value of x.
- Find a point on the Y-axis, which is equidistant from the points (-3, 4) and (5, 6).
- If the slope of the line joining the points A (5, 7) and B (4, 8) is of the slope of line joining the points P (2, 8) and Q (5, y), then find the value of y.
- A and B are the points (3, 4) and (5, -2). find the coordinates of point P such that PA = PB and the area of triangle PAB = 10.

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