Ques. -21

Geometry Level 3

If P is a point ( x , y ) (x,y) on the line y = − 3 x y=-3x such that P and the point ( 3 , 4 ) (3,4) are on the opposite sides of the line 3 x − 4 y = 8 3x-4y=8 , then :

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None of the given is true. x > 8 15 , y < − 8 5 x>\frac{8}{15}, y<\frac{-8}{5} x > 8 15 , y > − 8 5 x>\frac{8}{15},y>\frac{-8}{5} x > 8 5 , y < − 8 15 x>\frac{8}{5}, y<\frac{-8}{15}

Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Terrell Bombb
Oct 28, 2016

drawing a diagram will help us visualize what set of coordinates will satisfy the problem. since P must be on y=-3x and must be on the lower side of 3x - 4y = 8 since (3,4) is located in the upper side. we basically have to find the intersection of y = -3x and 3x - 4y = 8 then set the inequality to indicate points in the lower side

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