Question

Area bounded by the curves y = |x| − 2 and y = 1 − |x — 1| is equal to

• A. 4 sq. units
• B. 6 sq. units
• C. 2 sq. units
• D. 8 sq. units

Answer 1

Answer: (A)

4 sq. units

Answer 2

Bounded figure ABCD is a rectangle.

= $A B = \sqrt { 1 + 1 } = \sqrt { 2 }$

= $B C = \sqrt { 4 + 4 } = 2 \sqrt { 2 }$

Thus, bounded area = $( \sqrt { 2 } ) ( 2 \sqrt { 2 } )$

= 4 sq. units.