jee-main 2019 Q85

jee-main · India · session1_12jan_shift2 Differential equations Solving Separable DEs with Initial Conditions
If a curve passes through the point $( 1 , - 2 )$ and has slope of the tangent at any point $( x , y )$ on it as $\frac { x ^ { 2 } - 2 y } { x }$, then the curve also passes through the point
(1) $( \sqrt { 3 } , 0 )$
(2) $( - 1,2 )$
(3) $( - \sqrt { 2 } , 1 )$
(4) $( 3,0 )$
If a curve passes through the point $( 1 , - 2 )$ and has slope of the tangent at any point $( x , y )$ on it as $\frac { x ^ { 2 } - 2 y } { x }$, then the curve also passes through the point\\
(1) $( \sqrt { 3 } , 0 )$\\
(2) $( - 1,2 )$\\
(3) $( - \sqrt { 2 } , 1 )$\\
(4) $( 3,0 )$