If the coordinates of the points P   and Q   are 2,5  and  8,6   respectively, find the coordinates of L   such that PL LQ = 2 5  .

# If the coordinates of the points   and   are   respectively, find the coordinates of   such that  .

1. A

2. B

3. C

4. D

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### Solution:

Given that, the coordinates of the points   and   are  .
.
Hence, m = 2, n = 5.
If L(x, y) divides the line segment with the coordinates   in the ratio m:n internally, then the section formula is given by,
.
Here, m = 2, n = 5.

The coordinate of L is  .
Hence, option 4) is correct.

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