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# The slope of a line segment joining the points G (2a + 3, 4 – 5a) and the point which divides the line segment joining the points E (5, 3) and F (8, 5) in the ratio 3:4 is ½. Find the value of a.

Asked by Topperlearning User 30th April 2014, 8:38 AM

Let the point D be the point which divides the line segment joining the points (5, 3) and (8, 5) in the ratio 3:4.

Therefore the coordinates of point D =
Slope of the line joining the points D and G =
But the slope of line joining the points D and G is ½.

23 – 14a = 70a – 2
25 = 84a
a =
Answered by Expert 30th April 2014, 10:38 AM
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