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a circle passes through origin meets the axes at A and B so that (2,3) lies on AB then the locus of centroid of triangle OAB

a circle passes through origin meets the axes at A and B so that (2,3) lies on AB then the locus of centroid of triangle OAB
 

Grade:12

1 Answers

Arun
25763 Points
3 years ago
 

Dear Karthik

 

 

 

 

 

6443-1213_7662_124.JPG

 

let centroid of circle is (l,m)

 

then point A and B will be as shown in figure

 

and center of circle will be (3l/2 ,3m/2)

 

 

 

so  (3k)2 =(3l/2)2 +(3m/2)2

 

   (2k)2 =(l)2 +(m)2

 

so locus

 

x2 +y=4k2

 

Regards

Arun(askIITians forum expert)

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