Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The expression
has always the same sign as,
if
Text Solution
Verified by ExpertsThe correct answer is:
B
We are asked:
When does
always have the same sign as
?
Step 1: Condition for always same sign
A quadratic
is always positive (or negative) if it does not cross the x -axis, discriminant < 0:

If
and
, then
always → same sign as 
If
and
, then
always → same sign as 
Step 2: Condition in terms of inequality

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