Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
for atleast one 
, then if 
, then 
contains:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, d)
We are solving:
Step 1: Consider k > 0
Parabola opens upwards → for large 
dominates → inequality holds.
Step 2: Consider 
Inequality becomes linear:
So there exists 
satisfying it.
Step 3: Consider 
Parabola opens downwards. Maximum at vertex:
For 
, function decreases. So 
only if 
:
Also checking discriminant confirms solution exists for 
.
Step 4: Combine all cases
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