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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.

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

Here area = (1/2)*6*8= 24

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