Straight Line Question 121

Question: Choose the correct statement which describe the position of the point (?6, 2) relative to straight lines $ 2x+3y-4=0 $ and $ 6x+9y+8=0 $ [MP PET 1983]

Options:

A)Below both the lines

B)Above both the lines

C)In between the lines

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ L\equiv 2x+3y-4=0 $ , $ {L _{(-6,2)}}=-12+6-4<0 $ $ L’=6x+9y+8=0 $ , $ L{’ _{(-6,2)}}=-36+18+8<0 $ Hence the point is below both the lines..