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For what value of 'k', the points (k,1),...

For what value of 'k', the points (k,1), (1,-1) and (11,4) are collinear ?

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The given points will be collinear if
area of triangle = 0
`implies " "1/2[k(-1-4)+1(4-1)+11(1+1)=0`
`implies " "-5k+3+22=0`
`implies " "5k=25`
`implies " "k=5`
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