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 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

f(x) is a continuous function for all real values of x and satisfies int_n^(n+1)f(x)dx=(n^2)/2AAn in Idot Then int_(-3)^5f(|x|)dx is equal to (19)/2 (b) (35)/2 (c) (17)/2 (d) none of these

f(x) is a continuous function for all real values of x and satisfies int_n^(n+1)f(x)dx=(n^2)/2AAn in Idot Then int_(-3)^5f(|x|)dx is equal to (a) (19)/2 (b) (35)/2 (c) (17)/2 (d) none of these

f(x) is a continuous function for all real values of x and satisfies int_n^(n+1)f(x)dx=(n^2)/2AAn in Idot Then int_(-3)^5f(|x|)dx is equal to (19)/2 (b) (35)/2 (c) (17)/2 (d) none of these

If |(x^2+4x, x-1, x+3),(2x, 3x-1, 5x-1),(6x-1, 4x, 8x-2)|=ax^4+bx^3+cx^2+dx+k be an identity in x and f(x) is a continuous function which attains ony rational values and f(0)=a, then f(x)=4 (A) for no value of x (B) for all values of x (C) ony for finite number of values of x (D) ony for all non zero values of x

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(3).a_1a_3

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 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 contiuous function such a int_n^(n+1) f(x)dx=n^3, n in Z. Then, the value of the intergral int_-3^3 f(x) dx (A) 9 (B) -27 (C) -9 (D) none of these