Q. Line x/6 +y/8 =1  intersects the x and y axes at M and N respectively. If the coordinates of the point P lying inside the triangle OMN (where 'O' is origin) are (a, b) such that the areas of the triangle POM, PON and PMN are equal. Find 
(a) the-coordinates of the point P and 
(b) the radius of the circle escribed opposite to the angle N. 

hI, 
The mentioned condition is true for centroid so point P will be centroid , 


Here area = (1/2)*6*8= 24
 

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