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Previous Year Paper

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CAT-2005-Previous Years Paper

Question
21 out of 30
 

In the X-Y plane, the area of the region bounded by the graph |x + y| + |xy| = 4 is



A 8
B 12
C 16
D 20

Ans. C

|x + y| + |xy| = 4

Replace “ + x” by “−x” & “ + y” by “y” everywhere in the curve: we again get the same equation.

Curve is symmetric in the 4-quadrants of XY plane.

In l-quadrant (x, y>0)

|x + y| + |xy| = 4

=

Or

We can now plot the graph:

Area in L-quadrant = (2)2 = 4 unit2

Total area of |x + y| + |xy| = 4 is: 4 x (area of I-quadrant)

= 4 × 4

= 16 s unit.

CAT-2005-Previous Years Paper Flashcard List

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