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Question
A=(1,2,3) and B=(2,10,1) are two points. If the point P lies on the line AB and Pz=7, then Px+Py=
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Solution
The correct option is D −15
The direction ratios of the line are 1,8,−2.
Any point C lying on the line AB can be written as (1+k,2+8k,3−2k).
Given, 3−2k=7
Hence, k=−2
Now, Px+Py=3+9k=−15
The direction ratios of the line are 1,8,−2.
Any point C lying on the line AB can be written as (1+k,2+8k,3−2k).
Given, 3−2k=7
Hence, k=−2
Now, Px+Py=3+9k=−15
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