Straight Line Question 122

Question: The position of the points (3, 4) and (2, ?6) with respect to the line $ 3x-4y=8 $ are [Roorkee 1972; MP PET 1984]

Options:

A)On the same side of the line

B)On different side of the line

C)One point on the line and the other outside the line

D)Both point on the line

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ L\equiv 3x-4y-8=0 $ $ {L _{(3,4)}}=9-16-8<0 $ and $ {L _{(2,-6)}}=6+24-8>0 $ Hence, the points lie on different side of the line.