If the points `A(-1,-4),B(b,c)and C(5,-1)` are collinear and 3b + c = – InterviewSolution

InterviewSolution

1.	If the points `A(-1,-4),B(b,c)and C(5,-1)` are collinear and 3b + c = 4, find the values of b and c.
Answer» Points `A(-1,-4),B(b,c)andC(5,-1)` are collinear `therefore" ""area of"DeltaABC=0` `implies" "-1(c+1)+b(-1+4)+5(-4-c)=0` `implies" "-c-1+3b-20-5c=0` `implies" "3b-6c=21` `implies" "b-2c=7" "...(1)` `"Given that,"2b+c=4" "...(2)` from eqs. (1) and (2), we get `b=3andc=2`

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