If f(x)=x^2+2bx+2c^2 and g(x)=-x^2-2cx+b^2 such that f(x)> g(x) then the relation between b and c is

JEE Advanced Mathematics question

If and such that then the relation between and is

Answer: (C)

Complete the squares:

f(x)=(x++-\ ⇒\ f=-,

g(x)=+-(x+\

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Question ID VK-110076