jee-main 2021 Q76

jee-main · India · session1_25feb_shift1 Differential equations Solving Separable DEs with Initial Conditions

If a curve passes through the origin and the slope of the tangent to it at any point $( x , y )$ is $\frac { x ^ { 2 } - 4 x + y + 8 } { x - 2 }$, then this curve also passes through the point:
(1) $( 5,4 )$
(2) $( 4,4 )$
(3) $( 4,5 )$
(4) $( 5,5 )$

If a curve passes through the origin and the slope of the tangent to it at any point $( x , y )$ is $\frac { x ^ { 2 } - 4 x + y + 8 } { x - 2 }$, then this curve also passes through the point:\\
(1) $( 5,4 )$\\
(2) $( 4,4 )$\\
(3) $( 4,5 )$\\
(4) $( 5,5 )$

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