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Question

Two lines x = ay + b, z = cy + d and x=a1y+b1,z=c1y+d1 will be perpendicular, if and only if

A
aa1+bb1+cc1=0
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B
(a+a1)(b+b1)(c+c1)=0
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C
aa1+cc1+1=0
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D
aa1+b1+cc1+1=0
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Solution

The correct option is C aa1+cc1+1=0
Lines can be written as xba=y1=zdcandxb1a1=y1=zd1c1 which will be perpendicular if and only if aa1+1+cc1=0

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