prove that (1,4),(-1,2) and (-5,-2) points are collinear
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Step-by-step explanation:
By area formula, 1/2 { x1.(y2-y3)+ x2.(y3-y1)+ x3.(y1-y2)}
1/2 { 1.(2+2) + (-1)(-2-4)+ (-5)(4-2) }
= 1/2. { 1(4) + (-1)(-6) + (-5)(2) }
= 1/2. { 4 + 6 - 10}
= 1/2. { 10-10}
= 0
Hence, it is collinear.
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