Find the value of k for which the points (3k-1,kx-2), (k,k-7) and (k-1,-k-2) are collinear.
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If the three points A, B and C are collinear, then
slopes of any two pairs of points will be equal.
Now, apply slope formula to find the slopes of the respective pairs of points:
Slope of AB = (k-7+2k)/(k-3k+1) = (3k-7)/(-2k+1)
Slope of BC = (k-2-k+7)/(k-1-k) = -5
Slope of AC = (k-2+2k)/(k-1-3k+1) = (3k-2)/(-2k)
(3k-7)/(-2k+1) = -5
k=(-2/7)
slopes of any two pairs of points will be equal.
Now, apply slope formula to find the slopes of the respective pairs of points:
Slope of AB = (k-7+2k)/(k-3k+1) = (3k-7)/(-2k+1)
Slope of BC = (k-2-k+7)/(k-1-k) = -5
Slope of AC = (k-2+2k)/(k-1-3k+1) = (3k-2)/(-2k)
(3k-7)/(-2k+1) = -5
k=(-2/7)
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