If $ x^{2}+2 a x+b \geq c, \forall x \in R $, then

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

x^{2}+2 a x+b \geq c, \forall x \in R

, then

View answer and explanation

Correct option: A

b-c \geq a^{2}

Option A (

b-c \geq a^{2}

) is correct because the condition

x^{2}+2 a x+b \geq c

for all

x

implies that the discriminant is non-positive.

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a

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