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If the function of f(x) = [((x-5)^(2))/(...

If the function of `f(x) = [((x-5)^(2))/(A)]sin(x-5)+a cos(x - 2),"where"[*]` denotes the greatest integer function, is continuous and differentiable in (7, 9), then find the value of `A`

A

`A in [8, 64]`

B

`A in [0, 8)`

C

`A in [16, oo)`

D

`A in [8, 16]`

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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