3 Questions of 1 mark each will come from SEBA Class 10 Maths Chapter 4 MCQ (Quadratic Equations). Quadratic Equation is an important chapter not only in Class 10 but it has immense application afterwards.

So, we have prepared 10 important MCQ Questions from SEBA Class 10 Maths Chapter 4 Quadratic Equation. Before that, we will provide a detailed syllabus and topics of Quadratic Equation prescribed by SEBA for Class 10. Moreover, we have provided mark distribution of SEBA Class 10 Chapter 4 Quadratic Equation.

## Table of Contents

## SYLLABUS OF SEBA CLASS 10 MATHS CHAPTER 4 (QUADRATIC EQUATIONS)

First let us know the syllabus of SEBA Class 10 Maths Chapter 4 – Quadratic Equations.

- Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0).
- Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula.
- Relationship between discriminant and nature of roots.
- Situational problems based on quadratic equations related to day to day activities to be incorporated.

## TOPICS COVERED UNDER SEBA CLASS 10 MATHS CHAPTER 4 (QUADRATIC EQUATIONS)

The SCERT Maths textbook for Class 10 has the following topics in Chapter 4 – Quadratic Equations.

- 4.1 Introduction
- 4.2 Quadratic Equations
- 4.3 Solution of a Quadratic Equation by Factorization
- 4.4 Solution of a Quadratic Equation by Completing the Square
- 4.5 Nature of Roots

There are 4 exercises covering the above topics. The solution of Chapter 4 exercises can be found in this link.

## SEBA CLASS 10 MATHS CHAPTER 4 (QUADRATIC EQUATIONS)

A quadratic equation is a type of polynomial equation of degree 2. The standard question of an quadratic equation that can be written in the form:

ax^{2} + bx + c = 0

where a, b, and c are constants and x is a variable.

Quadratic equations can have zero, one, or two solutions, depending on the values of the constants a, b, and c.

### SOLVING QUADRATIC EQUATIONS

To solve a quadratic equation, you can use the quadratic formula:

x = (-b +/- sqrt(b^{2} – 4ac)) / (2a)

where sqrt(b^{2} – 4ac) is the square root of (b^{2} – 4ac).

For example, to solve the quadratic equation x^{2} + 4x + 3 = 0, you would plug the values a=1, b=4, and c=3 into the quadratic formula:

x = (-4 +/- sqrt(4^{2} – 4*1*3)) / (2*1)

x = (-4 +/- sqrt(16 – 12)) / 2

x = (-4 +/- sqrt(4)) / 2

x = (-4 +/- 2) / 2

x = -3 or x = -1

So, the solutions to the equation x^{2} + 4x + 3 = 0 are x = -3 and x = -1.

## MARKS DISTRIBUTION OF CHAPTER 4 (QUADRATIC EQUATIONS)

Exactly 50% of marks in SEBA Class 10 HSLC Examination is assigned for MCQ and Very Short Answer (VSA) Questions.

Four (4) types of questions or question format will be asked from Class 10 Maths Chapter 4 Quadratic Equations as listed below.

- Multiple Choice Questions (MCQ) – 1 Marks each
- Very Short Answer (VSA) – 1 Marks each
- Short Answer Type Questions (SA-II) – 3 Marks each

These questions of this chapter will be based on knowledge and understanding. 3 MCQ of 1 marks each of SEBA Class 10 Maths Chapter 4 MCQ (Quadratic Equations) will be asked in SEBA HSLC Examination.

The detail marks distribution is shown in the table below.

Knowledge | Understanding | Application | Skill | Total | |

MCQ/VSA (1 Marks) | 2 x 1 = 2 | 1 x 1= 1 | – | – | 3 |

SA-I (2 Marks) | – | – | – | – | – |

SA-II (3 marks) | – | 3 x 1=3 | – | – | 3 |

LA (4 Marks) | – | – | – | – | – |

Total | 2 | 4 | – | – | 6 |

## SEBA CLASS 10 MATHS CHAPTER 4 (QUADRATIC EQUATIONS)

In this section, we have provided 10 important. SEBA Class 10 Maths Chapter 4 MCQ (Quadratic Equations) .

1. The discriminant of the quadratic equation 3 3 x^{2} + 10x + 3 = 0 is

A) 8

B) 64

C) -1/ 3 sqrt(3)

D) -sqrt(3)

2. Which of the following equations has 2 as a root?

(A) x^{2} – 4x + 5 = 0

(B) x^{2} + 3x – 12 = 0

(C) 2x^{2} – 7x + 6 = 0

(D) 3x^{2} – 6x – 2 = 0

3. The quadratic equation 2×2 – 5x + 1 = 0 has

(A) two distinct real roots

(B) two equal real roots

(C) no real roots

(D) more than 2 real roots

4. (x^{2} + 1)^{2} – x^{2} = 0 has

(A) four real roots

(B) two real roots

(C) no real roots

(D) one real root.

5. Values of k for which the quadratic equation 2x^{2} – kx + k = 0 has equal roots is

(A) 0 only

(B) 4

(C) 8 only

(D) 0, 8

6. The number of zeroes, the polynomial p (x) = (x – 2)^{2} + 4 can have, is

(A) 0

(B) 1

(C) 2

(D) 3

7. Which of the following equations has the sum of its roots as 3?

(A) 2x^{2} – 3x + 6 = 0

(B) –x^{2} + 3x – 3 = 0

(C) sqrt(2) x^{2 } – 3 /sqrt(2) x +1 =0

(D) 3x^{2} – 3x + 3 = 0

8. If a and b are roots of the equations 3x^{2 }+ 5x+7=0, then ab equal to

(A) 7/3

(B) -7/3

(C) -5/3

(D) 21

9. Which constant should be added and subtracted to solve the quadratic equation 4x^{2 }-sqrt(3) x -5 =0 by the method of completing the square?

(A) 9/16

(B) 3/16

(C) 3/4

(D) 3 / 4

10. The roots of x^{2}-2x-(r^{2}-1)=0 are

(A) 1-r, r-1

(B) 1-r, r+1

(C) 1, r

(D) 1-r, r

## SEBA CLASS 10 MATHS MCQ PDF

The SEBA Class 10 Maths Chapter 3 MCQ PDF is given below

- Class 10 Chapter 1 MCQ – Real Numbers
- Class 10 Chapter 2 MCQ – Polynomials
- Class 10 Chapter 3 MCQ – Linear Equations in 2 Variables
- Class 10 Chapter 4 MCQ – Quadratic Equations.

More chapters will added in this list. So, keep visiting www.guwahatilive.com Education Section

## FREQUENTLY ASKED QUESTIONS

### Is class 10 maths difficult?

No, Class 10 maths is not difficult. You have to get your maths concept right and solve maths questions on a daily basis.

### Which chapter is easy in 10th maths?

Probability and Construction is the easiest chapters in Class 10 math.

## CONCLUSION

We have prepared 10 important MCQ Questions from SEBA Class 10 Maths Chapter 4 Quadratic Equations. We have also provided detailed syllabus and topics of Chapter 4 Quadratic Equations prescribed by SEBA for Class 10. Moreover, we have also provided mark distribution of SEBA Class 10 Chapter 4.