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CBSE Class 10 Answered

For what value of p are the points A(-3,12), B(7,6), C(p,9) collinear?
Asked by Topperlearning User | 26 Jul, 2017, 03:07: PM
answered-by-expert Expert Answer
If the given points are collinear then the area of the triangle formed by joining these points is zero.
Here, x1 = -3, y1 = 12; x2 = 7, y2 = 6; x3 = p, y3 = 9
Substituting the values in the formula for area of triangle, you get
 9 - 21 + 6p = 0
 6p = 12
 p = 2
Hence, p = 2
Answered by | 26 Jul, 2017, 05:07: PM
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