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+1 vote
26.2k views
in Mathematics by (34.3k points)

If f(x) = x2 + 2bx + 2c2 and g(x) = - x2 - 2cx + b2 such that min f(x) > max g (x), then the relation between b and c, is

(a) no real value of b and c

(b) 0 < c < b2

(c) |c| < |b| 2

(d) |c| > |b| 2

1 Answer

+2 votes
by (24.0k points)
selected by
 
Best answer

Correct option (d) |c| > |b| 2

Explanation :

f(x) = x2 + 2bx + 2c2 and g(x) = - x2 - 2cx + b2 

Then, f(x) is minimum and g(x) is maximum at

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