A point (6, a) divides the line joining A (-3,-1) and B (-8,9) in the ratio k: 1. Find the value
of 'a' and 'k'.
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13
Answer:
(6,a)=(-8.k-3.1/1+k),(9.k-1.1/1+k)
6=-8k-3/1+k 6+6k=-8k-3
- 8k+6k=-3-6
- 14k=-9
- k=-9/14
a=9k-1/1+k. a+ak=9k-1
- a+a.-9/14=9.-9/14-1
- 14a-9a/14=-81/14-1
- 5a/14=-81-14/14
- 5a=-95
- a=-19
- a=-19. k=-9/14
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