Continuous Piecewise Function values (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Continuous Piecewise Function values
The function
f
(x) =
x²
a
if 0 ≤ x ≤ 1
= a , If 1 ≤ x √
2
=
2b² - 4b
x²
, if √
2
≤ x < ∞
is continuous for 0 ≤ x < ∞, then the most suitable values for a and b are
SELECT ONE OPTION
A
A = 1, b = -1
B
A = -1, b = 1 + √
2
C
A = -1, b = 1
D
None of these
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