NCERT Class 12 Math Relation and Function Chapter 1 MCQ Question Answer for Preparation of Exams. Here we Provide Class 12 Math Question Answer, Important Questions, MCQ for Various State Boards Students like CBSE, Haryana, uttar pradesh, mp and other state students.
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NCERT Class 12 Math Chapter 1 Relation and Function MCQ Question Answer Solution.
Relation and Function Class 12 Math Chapter 1 MCQ Question Answer
Multiple Choice Questions and Answer for Easy to Understand the Chapter.
1. Let f : R → R is defined as f (x) = 3x then f is :
(A) One-one, into
(B) One-one, onto
(C) Many-one, onto
(D) Many-one, into
Answer
Ans. (B) One-one, onto
2. Let f : R → R+ defined by f( x)= x4 then f is :
(A) One-one, onto
(B) One-one, into
(C) Many-one, onto
(D) Many-one, into
Answer
Ans. (C) Many-one, onto
3. Let f : N → N defined as f (x) = x3 then f is :
(A) One-one, onto
(B) One-one, into
(C) Many-one, onto
(D) Many-one, into
Answer
Ans. (B) One-one, into
4. Let f : R → R be defined as f (x) = x3 choose the correct answer :
(A) f is one-one, onto
(B) f is many one, onto
(C) f is one-one, into
(D) f is many one, into
Answer
Ans. (A) f is one-one, onto
5. Find fog, if f : R → R and g : R → R are given by f (x) = cos x and g(x ) = 3x2
(A) 3cos2x
(B) cos(3x2)
(C) cos3x
(D) None of the above
Answer
Ans. (B) cos(3x2)
6. Find gof, if f : R → R and g : R → R are given by f (x) = cos x and g(x ) = 3x2
(A) 3cosx2
(B) 3cosx
(C) 3cos2x
(D) cos(3x2)
Answer
Ans. (C) 3cos2x
7. Find fog, if f(x) = 8x3 and g(x) = x1/3
(A) 2x
(B) 8x
(C) 2x3
(D) None of the above
Answer
Ans. (B) 8x
8. Find gof if f(x) = 8x3 and g(x) = x1/3
(A) 2x
(B) 8x
(C) 2x3
(D) None of the above
Answer
Ans. (A) 2x
9. Let f : R → R be defined as f(x) = x4, choose the correct answer :
(A) f is one-one onto
(B) f is many-one onto
(C) f is one-one but not onto
(D) f is neither one-one nor onto
Answer
Ans. (D) f is neither one-one nor onto
10. If the binary operation ∗ on N defined as a ∗ b = a3+ b3, then ∗ is :
(A) Both associative and commutative
(B) Commutative but not associative
(C) Associative but not commutative
(D) Neither commutative nor associative
Answer
Ans. (B) Commutative but not associative
11. Let f : R → R be defined as f(x) = 3 – 4x, then f is :
(A) one-one and onto
(B) many-one and onto
(C) neither one-one nor onto
(D) one-one but not onto
Answer
Ans. (A) one-one and onto
12. If f(x) = log (1 + x) and g(x) = ex ,then value of (gof )(x) is :
(A) e1+x
(B) 1 + x
(C) log x
(D) None of these
Answer
Ans. (B) 1 + x
13. If f(x) = log (1 + x) and g(x) = ,ex then value of (fog )(x) is :
(A) log x
(B) log(ex+1)
(C) log (1 + x)
(D) None of these
Answer
Ans. (B) log(ex+1)