If `P`is a point `(x ,y)`on the line `y=-3x`such that `P`and the point (3, 4) are on the opposite sides of the line `3x-4y=8,`then`x >8/(15)`(b) `x >8/5``y

If `P`is a point `(x ,y)`on the line `y=-3x`such that `P`and the point

1.	If `P`is a point `(x ,y)`on the line `y=-3x`such that `P`and the point (3, 4) are on the opposite sides of the line `3x-4y=8,`then`x >8/(15)`(b) `x >8/5``y
Answer» Correct Answer - A::C Let L=3x-4y-8. Then the value of L at (3,4) is `3 xx 3-4 xx 4-8 = -15 lt 0.` Hence, for the point P(x,y), we should have `L lt 0` `"or " 3x-4y-8 gt 0` `"or " 3x-4(-3x)-8 gt 0 " " [because P(x,y) " lies on "y = -3x]` `"or " x gt (8)/(15)` `"and " -y-4y-8 gt 0` `"or " y lt -(8)/(5)`

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If `P`is a point `(x ,y)`on the line `y=-3x`such that `P`and the point (3, 4) are on the opposite sides of the line `3x-4y=8,`then`x >8/(15)`(b) `x >8/5``y

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