If f is continuous function in [1,2] such that `|f(1) +3| < |f(1)| + 3` and `|f(2) + 10|=|f(2)|+ 10, (f(2) !=0)` then the

Let f(x) is a continuous function such that f(-1) = -2,f(0) = -1,f(1) = 0,f (2) = 1, f(3) = 0,f (4) = -1 and f(5) = 1 then minimum number of roots of f'(x) + xf " (x) = 0 in the interval (-1,5) are

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

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

If f is an odd continuous function in [-1,1] and differentiable in (-1,1) then

Let f:R to R be continuous function such that f(x)=f(2x) for all x in R . If f(t)=3, then the value of int_(-1)^(1) f(f(x))dx , is

Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then :

If f(x) is a continuous function defined on 1<=x<=3, where x in Q and f(2)=10 then find the value of f(1.8)=

Let f be a continuity function on [1,3] . If 'f' takes only reational value of 'x' and f(2)=10 then f(1.5)=

Let f:R to R be a continuous function and f(x)=f(2x) is true AA x in R . If f(1) = 3 then the value of int_(-1)^(1) f(f(x))dx=