Home
Class 12
MATHS
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

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the greatest integer function, is continuous in [4,6], then find the values of adot

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

If [x]^(2)- 5[x] + 6= 0 , where [.] denote the greatest integer function, then

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

Find the domain of function f(x)= (1)/([abs(x-1)]+[abs(7-x)]-6) where [*] denotes the greatest integral function .

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

Range of f(x)=[1/(log(x^(2)+e))]+1/sqrt(1+x^(2)), where [*] denotes greatest integer function, is

f(x)=sin^(-1)[2x^(2)-3] , where [*] denotes the greatest integer function. Find the domain of f(x).

The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2] , where [ . ] denotes the greatest integer function.