Grade 12Algebra
THe point with position vectors (2,6), (1,2) and (p,10) are collinear if the value of p is ?
1 Answer
Latika Leekha
The given points are (2,6), (1,2) and (p,10).
for the points to be collinear, the detreminant should be zero.
Hence, we must have the value of the determinant as zero.
This gives 2(2-10) - 1(6-10) + p (6-2) = 0.
Hence, -16 + 4+ 4p = 0.
This yields 4p = 12.
Hence, p = 3.
Hence, for p = 3, the following points will be collinear.
Thanks & Regards
Latika Leekha
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