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Question
If A=(1,2,3),B=(2,10,1), Q are collinear points and Qx=−1, then Qz=
If A=(1,2,3),B=(2,10,1), Q are collinear points and Qx=−1, then Qz=
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Solution
The correct option is A 7
The direction ratios of the line AB are (2−1):(10−2):(1−3)=1:8:−2.
Hence, any point Q lying on the line AB can be written in the form of (1+k,2+8k,3−2k), where k is a real number.
Qx=−1
Hence, 1+k=−1
This gives, k=−2.
Qz=3−(2×(−2))=7
Hence, option B is correct.
The direction ratios of the line AB are (2−1):(10−2):(1−3)=1:8:−2.
Hence, any point Q lying on the line AB can be written in the form of (1+k,2+8k,3−2k), where k is a real number.
Qx=−1
Hence, 1+k=−1
This gives, k=−2.
Qz=3−(2×(−2))=7
Hence, option B is correct.
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