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Limits Continuity and Differentiability question

2020 · 9 Jan · Shift 1 · Q29

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JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 9 Jan · Shift 1 · Q29

Limits Continuity and Differentiability question

2020 · 9 Jan · Shift 1 · Q29

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x

\in

(a, b), ƒ'(x) > 0 and ƒ''(x) < 0, then for any c

\in

(a, b),

{{f(c) - f(a)} \over {f(b) - f(c)}}

is greater than :

A
1
B
${{b - c} \over {c - a}}$
C
${{b + a} \over {b - a}}$
D
${{c - a} \over {b - c}}$

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