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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(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
• ata.-9/14=9.-9/14-1 • 14a-9a/14=-81/14-1 • 5a/ 1458114 /14 • 5a=-95 • a=-19 • a=-19. k=-9/14
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