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Line x/6 +y/8 = 1 intersects the x and ...

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.

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