Find the area bounded by the curves `x+2|y|=1` and `x=0` .

Answer

43467

Explanation

`x+2|y| = " and " x =0 "gives"`
`|y| = (1)/(2)`
`therefore y = +-(1)/(2)`
Required area = Area of `Delta ABC`
(where AB is x+2y=1 and AC is x-2y =1)
`therefore "Required area" = (1)/(2) (BC) (OA)`
`= (1)/(2) (1) (1) = (1)/(2)`