JEE Advanced Mathematics question
P is a point which moves in the - plane such that the point P is nearer to the centre of a square than any of the sides. The four vertices of the square are . The region in which P will move is bounded by parts of parabolas of which one has the equation
Answer: (A),(B),(C)
Solution
The centre is and the sides lie on , (take ). For :
< |a - x|, < |a + x|, < |a - y|, < |a + y| .
So the region is bounded by (parts of) the curves obtained by squaring with equality:
- $ +
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