Question

Avariable line through point p(2,1 )meets axes at a andb.Find the locus of centroid of tiangle oab where ois origin

Answer 1

Dear student

 

Let the line =

y – 1 = m(x – 2)

 

y – 1 = mx – 2m

 

A (2m – 1/m , 0)

 

B (0, 1 – 2m)

 

Now  

Centroid = (2m – 1/ 3m , 1 – 2m/3)

 

Now you can solve it further.