The line 2x + 3y = 12 meets the x-axis at A and y-axis at B. The line through (5, 5) perpendicular to AB meets the axes and the line AB at C, D , E respectively. If O is the origin of co-ordinates, find the area of figure OCEB.

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Solution

$O (0, 0), B (0, 4), C (5 / 3, 0), E (3, 2)$
Area of $O C E B = Δ_{1} + Δ_{2} .$

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