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Question
If the points A(1,2,−1), B(2,6,2) and C(λ,−2,−4) are collinear, then λ is
If the points A(1,2,−1), B(2,6,2) and C(λ,−2,−4) are collinear, then λ is
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Solution
The correct option is C 0
D.R. of AB are 2−1,6−2,2−(−1)i.e.,1,4,3.D.R. of AC are λ.−1,−2−2,−4−(−1)
i.e.,λ−1,−4,−3Since A, B, C are colinear, ∴AB||BC∴λ−11=−44=−33⇒λ−1=−1⇒λ=0
D.R. of AB are 2−1,6−2,2−(−1)i.e.,1,4,3.
D.R. of AC are λ.−1,−2−2,−4−(−1)
i.e.,λ−1,−4,−3
Since A, B, C are colinear,
∴AB||BC
∴λ−11=−44=−33⇒λ−1=−1⇒λ=0
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