Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The sum of all the integral values of a {where a ∈ [–10, 10)} such that the graph of the function
f(x) = ||x – 2| – a| – 3 has exactly three x-intercepts is
Text Solution
Verified by ExpertsThe correct answer is:
C
For x-intercept y = 0
∴ ||x–2| – a| = 3
⇒ |x – 2| – a = 3 or – 3
For 3, x intercepts,. a + 3 > 0 and a – 3 = 0 ....(1)
or a + 3 = 0 and a – 3 > 0 ....(2)
From (1) & (2), a = 3
hence sum = 3
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