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`        A straight rod of length 9 units slides with its ends A,B always on x and y axes respectively.Then the locus of the triangle OAB is`
one year ago

```							Dear Pradeep  Let the  co ordinates of centroid be (h,k).h=(0+x1+0)/3k=(0+0+y1)/3so, x1=3h and y1=3kNow length of the rod AB=9 units (Plot it on a paper and label the triangle AOB, where A=(x1,0) and B=(0,y1) )Now in triangle OABOA2+OB2=AB2x12+y12=92(SUBSTITUTE THE VALUE OF x1 and y1)(3h)2+(3k)2=81on dividing the whole of the above equation by 9 we get,h2+k2=9now replace h by x and k by  y to get the locustherefore we get a circle of radius 3unitsx2+y2=9   (Answer)  RegardsArun (askIITians forum expert)
```
one year ago
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