Area of Polygon Using Coordinates

Q. If the area $A$ bounded by the curve $y=x^2+2x-3$ and the line $y=kx+1$ is minimum, then the value of $6A$ is

Q.

The area (in sq units) enclosed between the parabola $y=x^2-x+2$ and the line $y=x+2$ equals

1. $\frac{8}{3}$

2. $\frac{1}{3}$

3. $\frac{2}{3}$

4. $\frac{4}{3}$

Q. If $f\left(x_1\right)-f\left(x_2\right)=f\left(\frac{x_1-x_2}{1-x_1{x}_2}\right)$ for $x_1,x_2ϵ$ (-1, 1), then f(x) is

1. $log\frac{1-x}{1+x}$
2. $log\frac{2+x}{1-x}$
3. $ta{n}^{-1}\frac{1-x}{1+x}$
4. $ta{n}^{-1}\frac{1+x}{1-x}$