Q 1483656547.     The lines `x = ay + b, z = cy + d` and `x = a'y + b', z = c'y + d' ` are perpendicular if:

A

`aa' + b b' + 1 = 0`

B

`ab' + a'b + 1 = 0`

C

`aa' + b b' + c c' = dd'`

D

`aa' + c c' + 1 = 0`

HINT

The equations of straight lines can be rewritten as `x = ay + b, z = cy + d` `=> (x-b)/a= (y-0)/1=(z-d)/c` and `X=a'y+b'` ,`z=c'y+d'` `=> (x-b')/a' =(y-0)/1 = (z-d')/c'` The above lines are perpendicular if `aa' + 1 . 1 + c c' = 0`

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