Question

The curve x = 4 – 3y – y² cuts the y-axis into two points P and Q. Then the area enclosed by the y-axis and the portion of the curve which lies between P and Q is

• A. 20 sq. units
• B. 18 sq. units
• C. 17 sq. units
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

Required area =$\int _ { - 4 } ^ { 1 } x d y$

= $\int _ { - 4 } ^ { 1 } \left( 4 - 3 y - y ^ { 2 } \right) d y$

= 20$\frac { 5 } { 6 }$ sq. units