CBSE Class 11 Mathematics Chapter 2 Relations and Functions Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Relations and Functions with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Relations and Functions MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Relations and Functions with Answers - Set - 2
Question 1:
The function f(x) = sin (πx/2) + cos (πx/2) is periodic with period
(a) 4
(b) 6
(c) 12
(d) 24
Correct Answer – (A)
Period of sin (πx/2) = 2π/(π/2) = 4
Period of cos (πx/2) = 2π/(π/2) = 4
So, period of f(x) = LCM (4, 4) = 4
Question 2 :
A function f(x) is said to be an odd function if
(a) f(-x) = f(x)
(b) f(-x) = -f(x)
(c) f(-x) = k * f(x) where k is a constant
(d) None of these
Correct Answer – (B)
A function f(x) is said to be an odd function if
f(-x) = -f(x) for all x
Question 3 :
If f(x) = ex and g(x) = loge x then the value of fog(1) is
(a) 0
(b) 1
(c) -1
(d) None of these
Correct Answer – (B)
Given, f(x) = ex
and g(x) = log x
fog(x) = f(g(x))
= f (log x)
= elog x
= x
So, fog(1) = 1
Question 4 :
If f(x) = (a – x)1/n, a > 0 and n ∈ N, then the value of f(f(x)) is
(a) 1/x
(b) x
(c) x²
(d) x1/2
Correct Answer – (B)
Given, f(x) = (a – x)1/n
Now, f(f(x)) = [(a – f(x))n]1/n
⇒ f(f(x)) = [(a – {(a – xn)1/n }n ]1/n
⇒ f(f(x)) = [a – (a – xn)]1/n
⇒ f(f(x)) = [a – a + xn)]1/n
⇒ f(f(x)) = (xn)1/n
⇒ f(f(x)) = x
Question 5 :
f (x) = x(x p) /q-p + x(x – q) , p – q. What is the value of f (p) + f (q) ?
(a) f (p – q)
(b) f (p + q)
(c) f (p (p + q))
(d) f (q (p – q))
Correct Answer – (B)
MCQ Class 11 Mathematics Relations and Functions with Answers
Question 6 :
If f(x) is an odd differentiable function on R, then df(x)/dx is a/an
(a) Even function
(b) Odd function
(c) Either even or odd function
(d) Neither even nor odd function
Correct Answer – (A)
Given, f(x) is an odd differentiable function on R
⇒ f(-x) = -f(x) for all x ∈ R
differentiate on both side, we get
⇒ -df(-x)/dx = -df(x)/dx for all x ∈ R
⇒ df(-x)/dx = df(x)/dx for all x ∈ R
⇒ df(x)/dx is an even function on R.
Question 7 :
Two functions f and g are said to be equal if f
(a) the domain of f = the domain of g
(b) the co-domain of f = the co-domain of g
(c) f(x) = g(x) for all x
(d) all of above
Correct Answer – (D)
Two functions f and g are said to be equal if f
1. the domain of f = the domain of g
2. the co-domain of f = the co-domain of g
3. f(x) = g(x) for all x
Question 8 :
The domain of the definition of the real function f(x) = √(log12 x² ) of the real variable x is
(a) x > 0
(b) |x| ≥ 1
(c) |x| > 4
(d) x ≥ 4
Correct Answer – (B)
We have f(x) = √(log12 x²)
Since, loga k ≥ 0 if a > 1, k ≥ 1
or 0 < a < 1 and 0 < k ≤ 1
So, the function f(x) exists if
log12 x² ≥ 0
⇒ x² ≥ 1
⇒ |x| ≥ 1
Question 9 :
Domain of the function
f (x) =√( 2 – 2x – x2) is :
(a) – √3 ≤ x ≤ + √3
(b) -1- √3 ≤ x ≤ -1+ √3
(c) -2 ≤ x ≤ 2
(d) -2 + √3 ≤ x ≤-2 -√3
Correct Answer – (B)
Question 10 :
If f (x + 1) = x2 – 3x + 2, then f (x) is equal to:
(a) x2 – 5x – 6
(b) x2 + 5x – 6
(c) x2 + 5x + 6
(d) x2 – 5x + 6
Correct Answer – (D)
- NCERT Solutions Class 11 Mathematics Relations and Functions : Exercise 2.1
- NCERT Solutions Class 11 Mathematics Relations and Functions : Exercise 2.2
- NCERT Solutions Class 11 Mathematics Relations and Functions : Exercise 2.3
- NCERT Solutions Class 11 Mathematics Relations and Functions : Exercise 2 Misc
- NCERT Solutions Class 11 Mathematics Textbook download
