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sir pls solve ths quotion if a circle of constant radius 3k passes through the origin and meets the axes at A and B the locus of the centeroid of the triangle ABC is.

sir pls solve ths quotion

if a circle of constant radius 3k passes through the origin and meets the axes at A and B the locus of the centeroid of the triangle ABC is.



Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear rohan

 

 

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 +y2 =4k2

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