Relative Position of a Point with Respect to a Line
The position ...
Question
The position of the points (2,3) and (−4,5) with respect to the line 3x−4y=8 is
A
on same side
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B
on opposite side
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C
lie on the line
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D
one point on the line other outside of the line
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Solution
The correct option is A on same side Let L:3x−4y−8=0, Now, L(2,3)=6−12−8=−14L(−4,5)=−12−20−8=−40 Therefore,both the points are on the same sides of the given line.