Question

the diagram shows part of the curve
${y = (x - 2)}^{4}$
and the point A ( 1, 1) on the curve. the tangent at A cuts the x-axis at B and the normal at A cuts the y-axis at C.

1. Find the coordinates of B and C.

2. Find the distance AC, giving your answer in the form
$\frac{ \sqrt{a} }{b}$
, where a and b are integer

3. find the area of the shaded region

Answer 1

I donot know this answer