# Quadratic Equations Questions and Answers Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Quadratic Equation Questions and Answers Set 1**. It will help you to practice the questions on the topics of maths as quadratic equation based questions of algebra.

**Quadratic Equation Questions and Answers Set 1: Ques No 1**

If α and β are the roots of the equation a*x*^{2 }+ *bx *+ *c *= 0, where a ≠ 0, then the roots of the equation *cx *^{2 }+ *bx *+ a = 0 are:

**Options:**

A. α and β

B. α^{2} and β^{2}

C. 1/α and 1/β

D. –α and -β

**Answer: C**

**Quadratic Equation Questions and Answers Set 1: Ques No 2**

If one root of quadratic equation is 1 more than the other root and the product of the roots is 5 more than the sum of the roots, the product of the roots of the quadratic equation is

**Options:**

A. 6 or 3

B. 12 or 2

C. 8 or 4

D. 12 or 4

**Answer: B**

**Quadratic Equation Questions and Answers Set 1: Ques No 3**

If the quadratic equation x^{2}-12x+k = 0 have real and equal roots, then the value of k is

**Options:**

A. 6

B. 35

C. 12

D. 36

**Answer: D**

**Quadratic Equation Questions and Answers Set 1: Ques No 4**

The difference of the roots of the quadratic equation (x – 7)^{2} + x^{2} = (x + 1)^{2 }is

**Options:**

A. 4

B. 12

C. 8

D. 6

**Answer: B**

**Quadratic Equation Questions and Answers Set 1: Ques No 5**

The roots of the equation is

**Options:**

A. -56 and 101

B. -101 and 97

C. 81 and 110

D. 101 and -97

**Answer: B**

**Quadratic Equation Questions and Answers Set 1: Ques No 6**

The sum of the roots of the equation (y^{2} – 5y + 2)^{2} + 6(y^{2} – 5y + 1) +14 = 0 is

**Options:**

A. 10

B. 12

C. -11

D. -13

**Answer: A**

**Quadratic Equation Questions and Answers Set 1: Ques No 7**

The sum of the real roots of the equation (6t+1)^{2 }+ 3 =0 is

**Options:**

A. 12

B. -1/3

C. 3

D. None of these

**Answer: D**

**Quadratic Equation Questions and Answers Set 1: Ques No 8**

The sum of the squares of three consecutive integers is equal to 77. The sum of the integers are

**Options:**

A. 15

B. -16

C. 10

D. None of these

**Answer: A**