Question

Let $f\left(x\right)$ be a continuous function given by $f\left(x\right)=2x$ for $\left|x\right|\le 1$ for $f\left(x\right)=x^2+ax+b$ for $\left|x\right|>1$. Find the area of the region in the third quadrant bounded by the curves $x=-2y^2$ and $y=f\left(x\right)$ lying on the left of the line $8x+1=0$

• A. $\frac{235}{192};a=2;b=-1$
• B. $\frac{235}{192};a=-1;b=2$
• C. $\frac{257}{192};a=-1;b=2$
• D. $\frac{257}{192};a=2;b=-1$

Answer 1

The correct option is D $\frac{257}{192};a=2;b=-1$