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:

[JEE Main 2021, 25 Feb (Shift 1)]

Question

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:

[JEE Main 2021, 25 Feb (Shift 1)]

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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}{…

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