jee-main 2015 Q69

jee-main · India · 04apr Straight Lines & Coordinate Geometry Locus Determination
Locus of the image of the point $( 2,3 )$ in the line $( 2 x - 3 y + 4 ) + k ( x - 2 y + 3 ) = 0 , k \in \mathbb{R}$, is a
(1) Circle of radius $\sqrt { 3 }$
(2) Straight line parallel to $x$-axis.
(3) Straight line parallel to $y$-axis.
(4) Circle of radius $\sqrt { 2 }$
Locus of the image of the point $( 2,3 )$ in the line $( 2 x - 3 y + 4 ) + k ( x - 2 y + 3 ) = 0 , k \in \mathbb{R}$, is a\\
(1) Circle of radius $\sqrt { 3 }$\\
(2) Straight line parallel to $x$-axis.\\
(3) Straight line parallel to $y$-axis.\\
(4) Circle of radius $\sqrt { 2 }$