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CBSE Questions for Class 11 Commerce Applied Mathematics Functions Quiz 12 - MCQExams.com

If P(S) denotes the set of all subsets of a given set S, then the number of one-to-one functions from the set S={1,2,3} to he set P(S)
  • 24
  • 8
  • 336
  • 320
 If A={x|x/2Z,0x10}B={x|x is one digit prime }C={x|x/3N,x12},
Then A(BC) is equal to-


  • {2,6}
  • {3,6,12}
  • {2,6,12}
  • {6,8}
The function f:NN defined by f(x)=x5[x5], where N is the set of natural numbers and [x] denotes the greatest integer less then or equal to x is
  • One-one and onto
  • One-one but not onto
  • Onto but not one-one
  • Neigher one-one nor onto
Let f:RR is defined as f(x)={2x+α2, x2αx2+10, x<2. If f(x) is onto function then set of values of α is
  • [1,4]
  • [2,3]
  • (0,3]
  • [2,5]
The domain of the function f(x)=log2log2log2log2xntimes is
  • (,2)[4,)
  • (,2][4,)
  • (,2)(4,]
  • none of these
The domain of definition of the function y=325197[x21x1]
  • (1,)
  • [1,)
  • Set of all real numbers
  • (,1)(1,)
Let X={a1,a2,a3,a4,a5,a6} & Y={b1,b2,b3} the number of function f from X to Y such that it is onto and there are exactly three elements x in X such that f(x)=b1 is
  • 75
  • 100
  • 120
  • 90
The domain of f(x)=logxlog2(1x1/2) is 
  • (12,1)(1,32)
  • (12,32)
  • [12,32]
  • (12,32]
The number of non-bijective mappings that can be defined from A=1,2,7 to itself is
  • 21
  • 27
  • 6
  • 9
The number of linear functions which map from [1,1] onto [0,2] is 
  • 0
  • 1
  • 2
  • infinite
Let f:R(1,1) be defined as f(x)=exexex+ex then f is
  • One-one onto
  • One-one into
  • Many-one onto
  • Many-one-into
Domain of the function
f(x)=14x|x210x+9| is
  • (740,7+40)
  • (0,7+40)
  • (740,)
  • None of these
If f:ZZ,f(n)={n+1;nisevenn3;nisodd is f is ...........
  • only one one
  • only Onto
  • one one & Onto both
  • Neither one one nor Onto
The complete set of values of x for which the function f(x)=2tan1x+sin12x1+x2 behaves like a constant function with positive output is equal to
  • x[1,1]
  • [1,)
  • (,1]
  • (,1][1,)
The function f:RR defined by f(x)=x-[x],xϵRis
  • one-one
  • onto
  • Both one-one and onto
  • neither one-one nor onto
If f:RRdefinedbyf(x)=ex2ex2ex2+ex2,thenfis
  • one-one but not onto
  • not one-one but onto
  • one-one and onto
  • neither one-one noronto
f(x)=x410x3+35x250x+c is a constant. the number of real roots of . f (x) = 0 and 
f'' (x) = 0 are respectively 
  • 1 , 0
  • 3, 2
  • 1 , 2
  • 3 , 0
If y2=ax2+bx+c, then y2d2ydx2 is
  • a constant function
  • a function of x only
  • a function of y only
  • a function of both x and y
The domain of the real valued function f(x) for which 4f(x)+41f(x)=4x is 
  • (1,1)
  • (,1)
  • [1,)
  • R
The function f:RR defined by f(x)=6x+6 is
  • one-one and onto
  • many-one and onto
  • one-one and into
  • mauny-one and into
Let n(A) = 4 and n(B) =Then the number of one - one  functions from A to B is 
  • 120
  • 360
  • 24
  • none of these
f(x) is
  • One-one and onto
  • One-one and into
  • Many-one and onto
  • Many-one and into
The domain of the function f(x)=log10[1log10(x25x+16)] is
  • (2,3)
  • [2,3]
  • (2,3]
  • [2,3)
The domain of the definition of the function y(x) given by the equation 2x+2y is
  • 0<x1
  • 0x1
  • <x0
  • <x<1
If fxln(1+1x)dx=p(x)ln(1+1x)+12x12ln(1+x)+c, being arbitary costant, then
  • p(X)=12x2
  • p(x)=0
  • p(x)=1
  • none of these
The domain of x+1x25x+6 is
  • R-{2,3}
  • (3,)
  • (,)
  • (,2)(3,)
Consider the function f(x)=ex and g(x)=sin1x, then which of the following is/are necessarily true.
  • Domain of gof= Domain of f
  • Range of gof  Range of g
  • Domain of gof is (,0)
  • Range of gof is (π2,0)
If f(x)=αxx+1, where x1 and (fof) (x) = x, then α=
  • 2
  • 2
  • 1
  • 1
Let N be the set of natural numbers and two functions f and g be defined as
and g(n)=n(1)n then fog is:
  • one-one but not onto
  • onto but not one-one
  • neither one-one nor into
  • both one-one and onto
let f:RR be a function defined by f(x)=x23x+4x2+3x+4 then f is
  • one-one but not onto
  • onto but not one
  • onto as well as one-one
  • neither onto nor one-one
Let f:RR  defined by f(x)=ex2ex2ex2+ex2, then
  • f(x) is one-one but not onto
  • f(x) is neither one-one nor onto
  • f(x) is many one but onto
  • f(x) is one-one and onto
The function f:RR defined by f(x)=e|x|exex+ex is
  • One-One and onto
  • One-one but not onto
  • Not one-one but onto
  • Neither one-one nor onto
f:NNwheref(x)=x(1)x, then 'f' is
  • one-one and into
  • many- one and into
  • one-one and onto
  • many-one and onto
Let f(x+y)=f f(x) f(y) and  f(x) =1+x g(x) G(x), where limx0g(x)=aandlimx0G(x)=b, then f' (x) is equal to
  • 1+ab
  • ab
  • f(x)
  • ab f(x)
Let (X) be a function satisfying f' (X) = f (X) with f (0) = 1 and g (X) be a function that satisfies f (X) + g (x) = x2, Then the value of the integral 10f(x)g(x)dx,is
  • ee2252
  • e+e2232
  • ee2232
  • e+e22+52
l qt f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g be the function satisfying f(x)+g(x)=X2, the value of the integral 10f(x)g(x)dxis
  • 14(e7)
  • 14(e2)
  • 14(e3)
  • none of the above
f:AB will be an into function if

  • f(A)B
  • f(A)=B
  • Bf(A)
  • f(B)A
If f (x) = cosx and g (x) = x2 then (gof) (x) is ....
  • cos2 x
  • cosx2
  • both (a)&(b)
  • x2 cosx
Suppose that g(x)=1+xandf(g(x))=3+2x+xthenf(x)is
  • 1+2x2
  • 2+x2
  • 1+x
  • 2+x
Which one of the following is one-one?
  • f:RR given by f(x)=|x1| for all xR
  • g:[π/2,π/2]givenby g(x)=|sinx|
  • h:[π/2,π/2]R given by h(x)=sinx for all x[π/2,π/2]
  • ϕ:RR given by f(x)=x24 for all xR
Let f:RR, be defined as f(x)=ex2+cosx then f is
  • One-one and onto
  • One-one and into
  • Many-one and onto
  • many-one and into
f:RR  defined by  f(x)=xx2+1,xR  is
  • one-one
  • onto
  • bijective
  • neither one one nor onto
State which of the following defines a mapping from A to B, if A=a,b,c, and B=x,y,z.
  • None of these.
Choose correct answer (s) from given choice
If f(x) = x + 4, g (x) = 5x and h(x) = 12/x. Find the value of f1(g(h(6))) 
  • 10
  • 14
  • 6
  • 0
If  f(x)=x2+1,g(x)=x+1x2+1  and  h(x)=2x3,  then  f(h(g(x))=
  • 0
  • 1x2+1
  • 25
  • xx2+1
f:RR  where  f(x)=x2+ax+1x2+x+1.  Complete set of values of  a  such that  f(x)  is onto to is :
  • (,)
  • (,0)
  • (0,)
  • None
The domain of f(x) = \sin^{-1} log_2 (x^2/2) is
  • (0, \infty)
  • (0, \surd{2})
  • (-1, 0) \cup (0, 1)
  • [-2, -1] \cup [1, 2]
The domain of real valued function f(x) for which 4^ {f(x)}+4^ {1-f(x)}=4^ {x} is
  • (-1,1)
  • (1,\infty)
  • (\infty ,1)
  • (-\infty ,-1)
Which of the following function(s) have the same domain and range?
  • f\left( x \right) =\sqrt { 1-{ x }^{ 2 } }
  • g\left( x \right) =\dfrac { 1 }{ x }
  • h\left( x \right) =\sqrt { x }
  • l\left( x \right) =\sqrt { 4-x }
Domain of the function y=\sqrt{\dfrac{x-2}{x+2}}+\sqrt{\dfrac{1-x}{1+x}} is 
  • (-\infty, 0)
  • R
  • (-\infty, 0]
  • \phi
0:0:1


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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers