If and , such that , then the relation between and ,…

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

f(x) = x^2 + 2bx + 2c^2

and

g(x) = -x^2 - 2cx + b^2

, such that

\min f(x) > \max g(x)

, then the relation between

b

and

c

, is (1) No real value of

b

and

c

(2)

0 < c < b\sqrt{2}

(3)

|c| < |b|/\sqrt{2}

(4)

|c| > |b|/\sqrt{2}