Function Properties Ratio Comparison (Jee Mains) | ExamDuo
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Application of Derivates
Medium
Function Properties Ratio Comparison
Let f be any function continuous on [a, b] and twice differentiable on (a, b). If for all x ∈ (a, b), f'(x) > 0 and f"(x) < 0, then for any c ∈ (a,b),
f
(
c
)
−
f
(
a
)
f
(
b
)
−
f
(
c
)
is greater than :
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SELECT ONE OPTION
A
b
+
a
b
−
a
B
b
−
c
c
−
a
C
c
−
a
b
−
c
D
1
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