# 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 is the collection of some important questions. Practice these questions for SSC CGL CHSL CAT NTSE exams etc. 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**