If `f(x)` is a continuous function and attains only rational values in `[-3,3]` and its greatest value in `[-3, 3]` is 5, then `int_-3^3f(x)dx=` (A) `5` (B) `10` (C) `20` (D) `30`

If f(x) is a continuous function and attains only rational values and f(0)=3, then roots of equation f(1)x^(2)+f(3)x+f(5)=0 as

If f(x) is a continuous function in [2,3] which takes only irrational values for all x in[2,3] and f(2.5)=sqrt(5) ,then f(2.8)=

If f(x) is a continuous function such that its value AA x in R is a rational number and f(1)+f(2)=6 , then the value of f(3) is equal to

Let f(x) be a continuous function defined on [1, 3] . If f(x) takes only rational values for all x and f(2)=10 , then f(2.5)=

Let f(x) be a continuous function defined for 1<=x<=3. If f(x) takes rational values for all x and f(2)=10 then the value of f(1.5) is :

Let f(x) be a continuous function such that int_(n)^(n+1) f(x) dx=n^(3) , ninZ . Then the value of the integeral int_(-3)^(3) f(x) dx, is

Let f:RrarrR such that f(x) is continuous and attains only rational value at all real x and f(3)=4. If a_1,a_2,a_3,a_4,a_5 are in H.P. then sum_(r=1)^4 a_r a_(r+1)= (A) f(3).a_1a_5 (B) f(3).a_4a_5 (C) f(3).a_1a_2 (D) f(2).a_1a_3

The value of int_(-2)^(3)(|x|)/(x)dx is (a) 5 (b) 2 (c) -2 (d) 3

The greatest value assumed by the function f(x)=5-|x-3| is

If f(x) is a continuous function satisfying f(x)=f(2-x) , then the value of the integral I=int_(-3)^(3)f(1+x)ln ((2+x)/(2-x))dx is equal to