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THe point with position vectors (2,6), (1,2) and (p,10) are collinear if the value of p is ?

THe point with position vectors (2,6), (1,2) and (p,10) are collinear if the value of p is ?

Grade:12

1 Answers

Latika Leekha
askIITians Faculty 165 Points
7 years ago
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.
242-685_Capture.PNG
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
askIITians Faculty

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