JEE Delight: Find a such that 'good' points on |x|^a+|y|^a=1 which are closest to origin lie on axes

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JEE Delight: Find a such that "good" points on |x|^a+|y|^a=1 which are closest to origin lie on axes Support the channel:
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didnt understood the meaning of points closet to origin lie only on the co ordinate axes and why minima at 0?

misbahzaman