1.

Consider the regions A = {(x,y)|x^(2)+y^(2) le 100} and = {(x,y) | sin (x+y) gt 0}in the plane. Then the area of the region Ann B is -

Answer»

`10 PI`
`100`
`100 pi`
`50 pi`

Solution :`x^(2) +y^(2) LE 100 rarr "inside of a circle"`
`sin(x+y) gt 0`
`x + y in (x,pi)uu (2pi,3pi)"……."`
`x + y = c rarr "EQUATION of a line"`

REQUIRED area= shadedregion`= 1/2 pi(10)^(2) = 50 pi`


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