CAT 2023 Coordinate Geometry Question (Hard)

Question

The area of the quadrilateral bounded by the Y -axis, the line x 5 , and the lines x y x 5 2 , is

Accepted Answer

Step 1 We are given the equation Let , where . Then . Substituting into the equation This gives us four combinations - Case I and , valid for - Case II and , valid for - Case III and , valid for - Case IV and , valid for Since the region is bounded between the -axis and , we consider only Case III a

CAT 2023

Quantitative

Coordinate Geometry

Hard

The area of the quadrilateral bounded by the Y -axis, the line x=5 , and the lines |x−y|−|x−5|=2 , is

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