TS EAMCET 14-Sep-2020 Shift 2 Solved Paper

Let f:R→R be a bijection. A curve represented by y=f(x) is such that f'(x) > 0 ∀ x ∊ R. The tangent and normal drawn at P(α, 1) on the curve cuts the X-axis at A,B respectively and C is the foot of the perpendicular from P onto the X-axis. If P(α,1) is such a point that AC+CB is minimum, then the tangent at P is parallel to the line