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

### Question Asked by a Student from EXXAMM.com Team

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

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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