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`        A rod AB of length 2a is situated on coordinate axis then locus of the circumcentre triangle OAB.`
2 years ago

Harshit
31 Points
```							Let the rod lies on the x-axis at (u,0) and y-axis at (0,v) and the coordinate of circumcentre is (h,k) where u,v,h,k are variables.Triangle OAB is a right angle triangle so circumcentre will lie on the mid point of the hypotenuse. Then the coordinate of circumcentre is ( u/2 ,v/2 ) on comparing u/2=h   v/2=ku=2h   v=2k by Pythagoras's theoremu2+v2=(2a)2(2h)2+(2k)2=(2a)2h2+k2=a2x2+y2=a2 is the locus of circumcenter
```
2 years ago
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