Concept of Bounded Area


Area of region bounded by the curve

!!sqrt(x^2)+ sqrt(y^2)=1!!

(a) 1/2

(b) 1

(c) 2

(d) None


!!sqrt(x^2)+ sqrt(y^2)=1!!

!!=> |x|+|y|=1!!

!!ABCD!! is a square. So, we can find the length of side.

Which is !!a=sqrt2!!

Area bounded by the curve = Area of square

!!=> A= a^2= (sqrt2)^2= 2 !!

Therfore, option (c) is correct.

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