Q45 of 59 Page 178

Fill in the blanks

The points (3, 4) and (2, – 6) are situated on the ____ of the line 3x – 4y – 8 = 0.

Given line: 3x – 4y – 8 = 0

and given points are (3, 4) and (2, -6)


For point (3, 4)


3(3) – 4(4) – 8


= 9 – 16 – 8


= 9 – 24


= - 15 < 0


For point (2, -6)


3(2) – 4(-6) – 8


= 6 + 24 – 8


= 30 – 8


= 22 > 0


Ans. So, the points (3,4) and (2, -6) are situated on the opposite sides of 3x – 4y – 8 = 0.


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