AP EAMCET201921 Apr 2019Morning ShiftMathematicsStraight LinesActual

If P( , ) be a point on the line 3 x+y=0 such that the point P and the point Q(1,1) lie on either side of the line 3 x=4 y+8 , then

Options

A> 8 15 , < -8 5
B< 8 15 , < -8 5
C> 8 15 , > -8 5
D-8 5

Correct answer

A. > 8 15 , < -8 5

Step-by-step solution

Line L: 3 x=4 y+8 aligned & =3 x-4 y-8 L_ (1,1) & =3-4-8=-9 0 aligned & 3 x-4 y-8>0 & 3 x-4(-3 x)-8>0 [ y=-3 x] aligned array rlrl & 15 x-8>0 x> 8 15 > 8 15 & & 3 x-4 y-8 & >0 & -5 y-8 & >0 5 y+8 & < 0 y & < - 8 5 < -8 5 array [ 3 x=-y]

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