This is a Test of Mathematics Solution Subjective 90 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
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Draw the region of points in the plane, which satisfy .
region will bounded by lines , , & . Why is that?
First note that \( |x| \le 1 \) implies:
Similarly, if we demand \( |y| \le 1 \) (the double shaded zone).
Now if we want \( |y| \le |x| \) . This can be achieved by
Therefore the final region is the following shaded region: