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.

**Also Read : – Class 12 Math NCERT Solution**

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)= x^{4} 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) = x ^{3 }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) = x ^{3} 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 ) = 3x ^{2}**

(A) 3cos

^{2}x

(B) cos(3x

^{2})

(C) cos

^{3}x

(D) None of the above

**Answer**

**Ans. (B) cos(3x ^{2})**

**6. Find gof, if f : R → R and g : R → R are given by f (x) = cos x and g(x ) = 3x ^{2}**

(A) 3cosx

^{2}

(B) 3cosx

(C) 3cos

^{2}x

(D) cos(3x

^{2})

**Answer**

**Ans. (C) 3cos ^{2}x**

**7. Find fog, if f(x) = 8x ^{3} and g(x) = x^{1/3}**

(A) 2x

(B) 8x

(C) 2x

^{3}

(D) None of the above

**Answer**

**Ans. (B) 8x**

**8. Find gof if f(x) = 8x ^{3} and g(x) = x^{1/3}**

(A) 2x

(B) 8x

(C) 2x

^{3}

(D) None of the above

**Answer**

**Ans. (A) 2x**

**9. Let f : R → R be defined as f(x) = x ^{4}, 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 = a ^{3}+ b^{3}, 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) = e ^{x} ,then value of (gof )(x) is :**

(A) e

^{1+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) = ,e ^{x } then value of (fog )(x) is :**

(A) log x

(B) log(e

^{x}+1)

(C) log (1 + x)

(D) None of these

**Answer**

**Ans. (B) log(e ^{x}+1)**