If 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 x-axis and line AB at C and E respectively. If O is the origin of coordinates. Find the area of figure OCEB.

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Arun · Answer

This is an easy question. Find co-ordinate values of A,B,C,D,E.

Then find Area of triangle ODC which is a right angled triangle. So, area(ODC)=(OD*OC)/2.

Then find Area of triangle DBE which is again a right angled triangle. So, area(DBE)=(BE*DE)/2.

Therefore Area of quadrilateral OCEB is area(DBE)-area(ODC).

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Arun (askIITians forum expert)

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If 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 x-axis and line AB at C and E respectively. If O is the origin of coordinates. Find the area of figure OCEB.

If 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 x-axis and line AB at C and E respectively. If O is the origin of coordinates. Find the area of figure OCEB.

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