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प्रश्न
If the points A(2, 1, 1), B(0, -1, 4) and C(k, 3, -2) are collinear, then k
(A) 0
(B) 1
(C) 4
(D) -4
उत्तर
(c) 4
solution:
Direction Ratio of bar(AB )=(-2, -2, 3)
Direction Ratio of bar(BC)=(k, 4, -6)
If point A,B and C are collinear then `("DR of "bar(AB))/("DR of "bar(BC))`=constatnt
`-2/k=-2/4`
`k=4`
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