find radius of locus of centroid of a triangle | IIT-JEE advance question #careerpoint

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find radius of locus of centroid of a triangle | IIT-JEE advance question

Answer : 3

Note : Write in comment box if you need any further explanation. I will answer you.

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  1. Career Point Kota
  2. JEE
  3. locus of the centroid of a triangle
  4. centroid of a triangle
  5. find the center and radius of a circle
  6. find the locus of centroid of triangle with vertices (acost
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Автор

Maine toh what is locus search kra tha??

asianvlogger
Автор

Answer is 3
We assume the centew of circle as (a, b)
Then coordinates of A =(a, 0)
And coordinates of B = (0, b)
And any point on circle can be written as (a+9cosx, b+ 9sinx) (so this we take as P)
Now locus of centroid
h = (a+0+a+9cosx) /3
k = (b+0+b+9sinx) /3
Now we put sin^2x +cos^2x = 1 by substituting sinx and cosx im form of h and k
Then we get equation of circle of locus of centroid and then we calculate radius by
√(g^2 +f^2 -c)
Terms of a and b gets cancelled out and answer comes out to be 3
🎉🎉

GhostOfSparta-tx
Автор

Answer : 3

Note : Write in comment box if you need any further explanation. I will answer you.

shailendramaheshwari