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If `A(3,2,-4),B(5,4,-6)a n dC(9,8,-10)`are three collinear points,then find the ratio in which point `C`divides `A Bdot` |
Answer» Let C divides AB in the ratio `lamda:1`. Then `" "C-=((5lamda+3)/(lamda+1),(4lamda+2)/(lamda+1), (-6lamda-4)/(lamda+1))=(9, 8, -10)` Comparing, we get `" "5lamda+3=9lamda+9 or 4lamda=-6 or lamda=-3//2` Also, from `4lamda+2=8lamda+8 and -6lamda-4=-10lamda-10`, we get the same value of `lamda`. |
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