Continuous Piecewise Function a and b (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Continuous Piecewise Function a and b
Let f (x) =
x²
a
, 0 ≤ x < 1
a , 1 ≤ x < √
2
2b² - 4b
x²
, √
2
≤ x
be continuous in [0 , ∞], then the most suitable values of 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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