Question

The area bounded by the curves y² = 2x + 1 and x – y – 1 = 0 is –

• A. 2/3
• B. 4/3
• C. 8/3
• D. 16/3

Answer 1

Answer: (D)

16/3

Answer 2

Required area = $\int _ { - 1 } ^ { 3 } \left( x _ { 2 } - x _ { 1 } \right) d y$

=

= $\frac { 1 } { 2 } \int _ { - 1 } ^ { 3 } \left( 2 y + 3 - y ^ { 2 } \right) d y$

= = $\frac { 16 } { 3 }$ sq. units.