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Question

The points (3, 4) and (-4, 3) lie on the same side of the line 2x - y + 3 = 0.


A

True

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B

False

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Solution

The correct option is B

False


Two points (x1,y1) and (x2,y2) are on the same side of ax + by +c = 0 if ax1+by1+c and ax2+by2+c have the same sign. We will substitute the points in the given line and check the signs.

(3, 4 ) 2 × 3 - 4 + 3 = 5 +ve

(-4, 3) 2 × - 4 - 3 + 3 = -8 -ve

They will lie on opposite sides.


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