Find the value of k if …

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Yogita Ingle 6 years, 2 months ago
When three points are collinear then the condition is
x1 (y 2 - y3) + x2(y3 - y1) + x3(y1 - y2) = 0
Where, x1 = 2, x2 = 4, y1 = 3, y2 = k, x3 = 6, y3 = -3
Substituting the values,
2(k + 3) + 4(-3 - 3) + 6(3 - k) = 0
2k + 6 + 4(-6) + 18 - 6k = 0
2k + 6 - 24 + 18 - 6k = 0
-4k + 0 = 0
k=0
Therefore, The value of k is 0.
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