A point P moves inside a triange A(00),B(1,1/√3)and C(2,0) such that min(PA,PB,PC)=1,then the area bounded by the curve traced by P is:
a)3√3-3pi/2.
b)√3+pi/2
c)√3-pi/2
d)3√3+3pi/2
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1 Answers
Lokesh Verma
·2010-08-07 10:11:06
The distance fo the points from each otehr is 2
we have to remove the sectors from each vertexx..
total angle of these arcs is 180 degree (angles of a triangle)
so the area is the area of a equilateral triangle minus the area of a half circle
√3-pi/2