If the area bounded by the curve

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

y = x^2 + 1

y = x

and the pair of lines

x^2 + y^2 + 2xy - 4x - 4y + 3 = 0

K

units, then the area of the region bounded by the curve

y = x^2 + 1

y = \sqrt{x-1}

and the pair of lines

(x+y-1)(x+y-3) = 0

, is (1)

K

(2)

2K

(3)

\frac{K}{2}

(4) None of these