Let f(x) be defined by `f(x) = x- [x], 0!=x in R`, where [x] is the greatest integer less than or equal to x then the number of solutions of `f(x) +f(1/x) =1`

Let f(x) be defined by `f(x) = x- [x], 0!=x in R`, where [x] is the gr

1.	Let f(x) be defined by `f(x) = x- [x], 0!=x in R`, where [x] is the greatest integer less than or equal to x then the number of solutions of `f(x) +f(1/x) =1`
Answer» Correct Answer - B

The number of real roots of ` sin (2^x) cos (2^x) =1/4 (2^x+2^-x) ` isA. 1B. 2C. 3D. 0
`log_(16)x^(3)+(log_(2)sqrt(x))^(2) lt 1` iff x lies inA. (2,16)B. `(0,1//16)`C. `(1//16,2)`D. (0,2)
The number of solutions of the equation `log_(x-3) (x^3-3x^2-4x+8)=3` isA. 1B. 2C. 3D. 4
If `log_(3)x-log_(x)27 lt 2`, then x belongs to the intervalA. `(1//3,27)`B. `(1//27,3)`C. `(1//9,9)`D. None of these
The solution set of the inequation `log_(1//3)(x^(2)+x+1)+1 gt 0`, isA. `(-oo,-2) cup (1,oo)`B. [-1,2]C. (-2,1)D. R
The solution set of inequation `log_(1//3)(2^(x+2)-4^(x)) ge-2`, isA. `(-oo,2-sqrt(13))`B. `(-oo,2+sqrt(13))`C. `(-oo,2)`D. None of these
If `0 lt a lt 1`, then the solution set of the inequation `(1+(log_(a)x)^(2))/(1+(log_(a)x)) gt1`, isA. `(1,1//a)`B. (0,a)C. `(1,1//a) cup (0,a)`D. None of these
The solution set of the inequation `5^((1//4)(log5 x)^(2)) ge 5x^((1//5)(log5 x))` isA. `(0,5^(-2sqrt(5))]`B. `[5^(2sqrt(5)),oo)`C. `(0,5^(-2sqrt(5))] cup[5^(2sqrt(5)),oo)`D. `(0,oo)`
The set of all real numbers satisfying the inequation `x^((log_(10) x)^(2)-3(log10 x)+1) gt 1000`, isA. (0,1000)B. `(1000,oo)`C. (0,100)D. None of these
The equation `sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)` hasA. no solutionB. one solutionC. two solutionsD. more than two solutions