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The radius of a circle, having minimum area, which touches the curve y = 4 – x 2 and the lines, y = |x| is :

1. ) 1 2 ( 2 −
2. ) 1 2 ( 4 −
3. ) 1 2 ( 4 +
4. ) 1 2 ( 2 + Students may find similar question in CP exercise sheet : [ JEE Advance, Chapter : Area under the curve, Ex. 3 ]

Correct answer: ) 1 2 ( 4 −

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