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CGP EDU Academic Team
Published on: August 13, 2026
Find the possible values of 'a' such that the inequality 3 – x 2 > |x – a| has atleast one negative solution
Text Solution
Verified by ExpertsThe correct answer is:
A
(a ∈ 
)
3 – x 2 > | x – a |
Case (i) a < 0 and y = x – a is tangent of y = 3 – x 2 (see figure )
– 2x = 1 ⇒ x = – 
P 
Since y = x – a passes through 
⇒ a = x – y
= – 
= – 
(minimum value of a)
Case (ii) a > 0 and y = – x + a passes through (0, 3),
then a = 3 (maximum value of a) (see figure)
⇒ a ∈ 
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