Eamcet - Maths - Functions Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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The domain of Cos-1(2x-3)+√9-4x2 is

  

  

  

  

The domain of √1-3x+Cos-1 3x-1/2 is

  

  

  

  

If f(x)=3x-7/5x-3 then (fof)(x)=

  

  

  

  

If y=x2+2x+1/x2+2x+7, then inverse function x is defined only when

  

  

  

  

If f : R → R is continuous such that f(x + y) = f(x) + f(y), ∀x∈R, y∈R, and f(1) = 2 then f(100) =

  

  

  

  

The domain of √[x-1/2-x] is

  

  

  

  

f={(1, 4),  (2,-2), (3,10)} then f/2=

  

  

  

  

If f(x)= (a-xn)1/n, where a>0 and n?N, then (fof)(x)=

  

  

  

  

The function y=f(x) satisfying the condition f(x+1/x)=x3+1/x3 is

  

  

  

  

The domain of 1/ log(1-x) is

  

  

  

  

Let f be an injective function with domain{x, y ,z} and range {1,2,3}such that exactly one of the  following statements is correct and the remaining are false. F(x)=1, f(y)≠1, f(z)≠2. The value of f1(1) is

  

  

  

  

If f(x)=cos2x+cos2(600+x) + cos2(600-x) and g(3/2)=5 then gof(x)=

  

  

  

  

If f:[0, ∞)→[0, ∞) defined by f(x)=x2, then f is

  

  

  

  

The inverse of f(x)=10x-10-x/ 10x+10-x is

  

  

  

  

The domain of √(x-1)(x-2)(x-3) is

  

  

  

  

If A={1,2, 3}, B= {a, b, c, d}, f={(1,a), (2, b), (3, d)}, then f is

  

  

  

  

The range of x2+4y2+9z2-6yz-3xz-2xy is

  

  

  

  

If f(x)=[x], g(x)=x-[x]then which of the following functions is the zero functions

  

  

  

  

If  f(x)=αx+β and f={(1, 1), (2,3), (3,5), (4, 7)} then the values of α, β are

  

  

  

  

If f: R→R,, g: R→R, are defined by f(x)=4x-1, g(x)=x3+2, then gof(a+1/4)=

  

  

  

  

The domain of 1/√[x]2-[x]-6 is

  

  

  

  

If  f(x)=1og(cos x),  then  domain f.=

  

  

  

  

If fn(x)= (tan x/2)(1+sec x)(1+2 sec x)…….(1+sec 2n x) then the following is not true?

  

  

  

  

Let f(x)=-2sinx, if x≤-π/2; f(x)=a sinx+b,if –π/2

  

  

  

  

The domain of f(x)= log10(√x-4 +√6-x) is

  

  

  

  

The domain of f(x)=(9-x)Px-4 is

  

  

  

  

Consider the function f(x)=x sin(1/x),x≠0 and f(0) =0,then

  

  

  

  

The function f(x) = x/√1-x2 and g(x)=x/√1+x2, find fog(x).

  

  

  

  

The domain of √x2-3x+2 is

  

  

  

  

The range of f(x)=10- |3-2x| is

  

  

  

  

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