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Published on: 24/08/2019
Relations and Functions
Download CBSE Class 11th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 11th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test
1.
The domain of the function \(f(x)=\sqrt{x-1}+\sqrt{3-x}\) is ______.
(1,\(\infty\))
(\(\infty\),5)
(1, 3)
[1, 3]
2.
If f: R\(\rightarrow\) R be given by f(x) =\({4^x\over 4^x+2}\) for all x \(\in\) R, then ______.
f(x) = f(1 + x)
f(x) + f(1 + x) = 0
f(x) + f(1 - x) = 1
none of these
3.
If f(x) =\({x+1\over x-1}\) is a real function,\(\neq\) 1, then \(f[f\{f(2)\}]\) is ______.
-1
-3
3
4
4.
If \(f(x)={2^x+2^{-x}\over 2}\) then f(x+y) f(x-y)is equal to ______.
\({1\over2}[f(2x)+f(2y)]\)
\({1\over2}[f(2x)-f(2y)]\)
\({1\over3}[f(2x)+f(2y)]\)
\({1\over3}[f(2x)-f(2y)]\)
5.
If f(x) = log\({1+x\over 1-x}\) and g(x) = \({3x+x^3\over 1+3x^2}\) then f(g(x)) is equal to ______.
f(2x)
\([f(x)]^2\)
3f(x)
- f(3x)
6.
Let f(x) = Ix-1I then ______.
f(x2) = [f(x)]2
f(x +y) = f(x) f(y)
f(IxI) = I f(x) I
none of these
7.
Which one of the following is not a function
{(x, y) (:) x, y \(\in\) R, x2 = y}
{(x, y) (:) x, y \(\in\) R, y2 = x}
{(x, y) (:) x, y \(\in\) R, x = y3}
{(x, y) (:) x, y \(\in\) R, y = x3}
8.
If R is a relation from a finite set A having m elements to a finite set B having n elemen.ts, then the number of relations from A to B is ______.
2mn
2mn-1
2mn
mn
9.
Let R be a relation from a set A to B, then ______.
R=A\(\cup\)B
R =A\(\cap\)B
R\(\subset\)A x B
R \(\subset\) B x A
10.
If the set A has m elements, B has n elements then the number of elements in A x B is ______.
m + n
m + n + 1
mn
n2
1.
(d)
[1, 3]
2.
(c)
f(x) + f(1 - x) = 1
3.
(c)
3
4.
(a)
\({1\over2}[f(2x)+f(2y)]\)
5.
(c)
3f(x)
6.
(d)
none of these
7.
(b)
{(x, y) (:) x, y \(\in\) R, y2 = x}
8.
(a)
2mn
9.
(c)
R\(\subset\)A x B
10.
(c)
mn
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