If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is (x² - 4x + y + 8)/(x - 2), then this curve also passes through the point:

Differential Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Morning shift · Q3526

JEE Main 202125 Feb, Morning shiftMathematicsMediumDifferential Equations163× since 2002

If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is

{{{x^2} - 4x + y + 8} \over {x - 2}}

, then this curve also passes through the point :

JEE Main 2021 · 25 Feb, Morning shift · Q3526

JEE Main 202125 Feb, Morning shiftMathematicsMediumDifferential Equations163× since 2002

If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is

{{{x^2} - 4x + y + 8} \over {x - 2}}

, then this curve also passes through the point :