jee-main 2019 Q69

jee-main · India · session1_10jan_shift1 Straight Lines & Coordinate Geometry Locus Determination
A point $P$ moves on the line $2 x - 3 y + 4 = 0$. If $Q ( 1,4 )$ and $R ( 3 , - 2 )$ are fixed points, then the locus of the centroid of $\triangle P Q R$ is a line:
(1) with slope $\frac { 2 } { 3 }$
(2) with slope $\frac { 3 } { 2 }$
(3) parallel to $y$-axis
(4) parallel to $x$-axis 
A point $P$ moves on the line $2 x - 3 y + 4 = 0$. If $Q ( 1,4 )$ and $R ( 3 , - 2 )$ are fixed points, then the locus of the centroid of $\triangle P Q R$ is a line:\\
(1) with slope $\frac { 2 } { 3 }$\\
(2) with slope $\frac { 3 } { 2 }$\\
(3) parallel to $y$-axis\\
(4) parallel to $x$-axis
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