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)/(x-2),

Question

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

\(\frac{x^2+4x+y+8}{x-2}\), then this curve also passes through the point:

(1) (5, 4)

(2) (4, 5)

(3) (4, 4)

(4) (5, 5)

Answer 1

Correct option is (4) (5, 5)

Given

This curve passes through (5, 5)