Home » MCQ on Class 10 Mathematics Chapter 4 | Quadratic Equations

MCQ on Class 10 Mathematics Chapter 4 | Quadratic Equations

By Abdur Rohman / July 5, 2024

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Chapter 4 of class 10 Mathematics as per the NCERT syllabus is Quadratic Equations which deals with the Introduction to Quadratic Equations, Real-life Applications, graphical representations, and explanations of how quadratic equations can be depicted pictorially, methods for solving quadratic equations, including the quadratic formula, etc.

Here, we have discussed 30 Multiple Choice Questions based on these topics of the chapter. These questions will help you to learn more about the chapter and test your knowledge.

For each question below, there are four options out of which only one option is correct. After selecting your answer, click on the submit button to see the score and review your answers.

MCQ on Class 10 Maths Chapter 4 Quadratic Equations

1. What is the standard form of a quadratic equation?

A. \(ax^2 + bx + c = 0\) B. \(ax^3 + bx^2 + cx + d = 0\) C. \(ax^2 + bx = 0\) D. \(ax + b = 0\)

2. The quadratic equation \(2x^2 + x – 300 = 0\) represents a situation where:

A. The length of a rectangle is twice its breadth B. The length of a rectangle is one more than twice its breadth C. The length of a rectangle is three times its breadth D. The length of a rectangle is equal to its breadth

3. Who gave the explicit formula to solve a quadratic equation of the form \(ax^2 + bx = c\)?

A. Euclid B. Brahmagupta C. Sridharacharya D. Al-Khwarizmi

4. The quadratic formula is derived by which mathematician?

A. Euclid B. Brahmagupta C. Sridharacharya D. Al-Khwarizmi

5. The quadratic equation \(x^2 – 45x + 324 = 0\) arises from which real-life situation?

A. Finding the dimensions of a rectangular plot B. The cost of production of toys C. The number of marbles John and Jivanti had D. The product of two positive integers

6. What is the product of two consecutive positive integers if their product is 306?

A. 16 and 17 B. 17 and 18 C. 18 and 19 D. 19 and 20

7. What is the quadratic equation formed by the situation where Rohan’s mother’s age is 26 years more than his, and the product of their ages 3 years from now is 360?

A. \(x^2 + 26x – 360 = 0\) B. \(x^2 + 32x – 360 = 0\) C. \(x^2 + 29x – 360 = 0\) D. \(x^2 + 23x – 360 = 0\)

8. What is the quadratic equation derived from a train traveling 480 km at a uniform speed, taking 3 hours more if the speed had been 8 km/h less?

A. \(x^2 – 8x – 480 = 0\) B. \(x^2 – 24x – 480 = 0\) C. \(x^2 – 16x – 480 = 0\) D. \(x^2 – 12x – 480 = 0\)

9. How many roots can a quadratic equation have?

A. 1 B. 2 C. 3 D. 4

10. What is the form of the quadratic equation derived from \(2x^2 – 5x + 3 = 0\) by factorisation?

A. \((2x – 3)(x + 1) = 0\) B. \((2x – 3)(x – 1) = 0\) C. \((2x + 3)(x – 1) = 0\) D. \((2x + 3)(x + 1) = 0\)

11. What is the root of the equation \(3x – 2 = 0\)?

A. \(x = \frac{2}{3}\) B. \(x = 3\) C. \(x = -\frac{2}{3}\) D. \(x = -3\)

12. If one root of the equation \(x^2 + kx + 18 = 0\) is -3, what is the value of k?

A. 2 B. 3 C. 4 D. 5

13. The equation \(x^2 – 10x + 25 = 0\) has how many solutions?

A. One B. Two C. Three D. Infinite

14. The roots of the equation \(x^2 – 4x – 5 = 0\) are:

A. 1 and 5 B. -1 and 5 C. -1 and -5 D. 1 and -5

15. The quadratic equation \(2x^2 + 3x – 2 = 0\) has:

A. Two distinct real roots B. No real roots C. One real root D. Two complex roots

16. If the roots of \(ax^2 + bx + c = 0\) are real and equal, then:

A. \(b^2 – 4ac > 0\) B. \(b^2 – 4ac < 0\) C. \(b^2 – 4ac = 0\) D. \(b^2 – 4ac \leq 0\)

17. The roots of the quadratic equation \(x^2 – 3x + 2 = 0\) are:

A. 1 and 2 B. -1 and 2 C. -1 and -2 D. 1 and -2

18. The quadratic equation \(x^2 – 9 = 0\) has roots:

A. 3 and -3 B. 9 and -9 C. 0 and 9 D. 0 and -9

19. The roots of the equation \(x^2 – 7x + 12 = 0\) are:

A. 3 and 4 B. -3 and 4 C. -3 and -4 D. 3 and -4

20. The quadratic equation \(x^2 + 4x + 4 = 0\) has:

A. Two equal roots B. Two distinct real roots C. No real roots D. Two complex roots

21. The quadratic equation \(2x^2 + 5x – 3 = 0\) has:

A. Two distinct real roots B. No real roots C. One real root D. Two complex roots

22. If the roots of the equation \(ax^2 + bx + c = 0\) are equal, then:

A. \(b^2 – 4ac > 0\) B. \(b^2 – 4ac < 0\) C. \(b^2 – 4ac = 0\) D. \(b^2 – 4ac \geq 0\)

23. The roots of the equation \(x^2 – 5x + 6 = 0\) are:

A. 2 and 3 B. -2 and 3 C. -2 and -3 D. 2 and -3

24. The quadratic equation \(x^2 – 4x + 4 = 0\) has roots:

A. 2 and 2 B. 1 and 2 C. 0 and 2 D. 2 and 0

25. If one root of \(x^2 + 7x + 10 = 0\) is -5, then the other root is:

A. 2 B. -2 C. 3 D. -3

26. What is the sum of the roots of \(x^2 – 5x + 6 = 0\)?

A. 1 B. 5 C. 6 D. -5

27. What is the product of the roots of \(x^2 – 5x + 6 = 0\)?

A. 1 B. 5 C. 6 D. -6

28. The roots of \(x^2 + 4x + 4 = 0\) are:

A. 1 and 1 B. 2 and 2 C. -2 and -2 D. 2 and -2

29. The equation \(x^2 – 6x + 9 = 0\) has:

A. Two equal roots B. Two distinct real roots C. No real roots D. Two complex roots

30. The sum and product of the roots of \(x^2 – 5x + 6 = 0\) are:

A. 5 and 6 B. -5 and 6 C. 6 and 5 D. 5 and -6

Review Your Answers Above.

The Bottom Line

I hope these 30 MCQs on Quadratic Equations of Class 10 Maths Chapter 4 have helped you in your studies and preparation.

If you have any queries, or comments or find any mistake in the above questions, feel free to contact me in the comment section below.

I would love to hear from you.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

MCQ on Class 10 Maths Chapter 4 Quadratic Equations

1. What is the standard form of a quadratic equation?

2. The quadratic equation \(2x^2 + x – 300 = 0\) represents a situation where:

3. Who gave the explicit formula to solve a quadratic equation of the form \(ax^2 + bx = c\)?

4. The quadratic formula is derived by which mathematician?

5. The quadratic equation \(x^2 – 45x + 324 = 0\) arises from which real-life situation?

6. What is the product of two consecutive positive integers if their product is 306?

7. What is the quadratic equation formed by the situation where Rohan’s mother’s age is 26 years more than his, and the product of their ages 3 years from now is 360?

8. What is the quadratic equation derived from a train traveling 480 km at a uniform speed, taking 3 hours more if the speed had been 8 km/h less?

9. How many roots can a quadratic equation have?

10. What is the form of the quadratic equation derived from \(2x^2 – 5x + 3 = 0\) by factorisation?

11. What is the root of the equation \(3x – 2 = 0\)?

12. If one root of the equation \(x^2 + kx + 18 = 0\) is -3, what is the value of k?

13. The equation \(x^2 – 10x + 25 = 0\) has how many solutions?

14. The roots of the equation \(x^2 – 4x – 5 = 0\) are:

15. The quadratic equation \(2x^2 + 3x – 2 = 0\) has:

16. If the roots of \(ax^2 + bx + c = 0\) are real and equal, then:

17. The roots of the quadratic equation \(x^2 – 3x + 2 = 0\) are:

18. The quadratic equation \(x^2 – 9 = 0\) has roots:

19. The roots of the equation \(x^2 – 7x + 12 = 0\) are:

20. The quadratic equation \(x^2 + 4x + 4 = 0\) has:

21. The quadratic equation \(2x^2 + 5x – 3 = 0\) has:

22. If the roots of the equation \(ax^2 + bx + c = 0\) are equal, then:

23. The roots of the equation \(x^2 – 5x + 6 = 0\) are:

24. The quadratic equation \(x^2 – 4x + 4 = 0\) has roots:

25. If one root of \(x^2 + 7x + 10 = 0\) is -5, then the other root is:

26. What is the sum of the roots of \(x^2 – 5x + 6 = 0\)?

27. What is the product of the roots of \(x^2 – 5x + 6 = 0\)?

28. The roots of \(x^2 + 4x + 4 = 0\) are:

29. The equation \(x^2 – 6x + 9 = 0\) has:

30. The sum and product of the roots of \(x^2 – 5x + 6 = 0\) are:

The Bottom Line

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