Quadratic Equations MCQ Questions for Class 10 Maths Chapter 4 with Answers

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 10 Mathematics book Chapter 4 Quadratic Equations with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam, Taking the help of the Class 10 Business Studies Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Quadratic Equations. Each Questions has four options followed by the right answer. Download the Mathematics Quiz Questions with Answers for Class 10 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 10 Mathematics with Answers

Q1. The quadratic equation has degree

(i) 0
(ii) 1
(iii) 2
(iv) 3

(iii) 2

Q2. The roots of 100x² – 20x + 1 = 0 is:

(i) 1/20 and 1/20
(ii) 1/10 and 1/20
(iii) 1/10 and 1/10
(iv) None of the above

(iii) 1/10 and 1/10

Q3. The quadratic equation 2×2 – 3x + 5 = 0 has​

(i) Real and distinct roots
(ii) Real and equal roots
(iii) Imaginary roots
(iv) All of the above

(iii) Imaginary roots

Q4. If 2 is a root of the equation x² + bx + 12 = 0 and the equation x² + bx + q = 0 has equal roots, then q is equal to

(i) 8
(ii) –8
(iii) 16
(iv) –16

(iii) 16

Q5. The roots of the equation 3x² – 4x + 3 = 0 are –

(i) real and unequal
(ii) real and equal
(iii) imaginary
(iv) none of these

(iii) imaginary

Q6. The cubic equation has degree

(i) 1
(ii) 2
(iii) 3
(iv) 4

(iii) 3

Q7. The sum of two numbers is 27 and product is 182. The numbers are:

(i) 12 and 13
(ii) 13 and 14
(iii) 12 and 15
(iv) 13 and 24

(ii) 13 and 14

Q8. A bi-quadratic equation has degree

(i) 1
(ii) 2
(iii) 3
(iv) 4

(iv) 4

Q9. If the roots of the equation (a – b)x² + (b – c)x + (c – a) = 0 are equal. Then

(i) 2b = a + c
(ii) 2a = b + c
(iii) 2c = a + b
(iv) 1/b = 1/a = 1/c

(ii) 2a = b + c

Q10. If one root of the equation px² –14x + 8 = 0 is six times the other, then p is equal to –

(i) 2
(ii) 3
(iii) 1
(iv) None of these

(ii) 3

Q11. The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is

(i) linear equation
(ii) quadratic equation
(iii) cubic equation
(iv) bi-quadratic equation

(i) linear equation

Q12. ½ is a root of the quadratic equation x²-mx-5/4=0, then value of m is:

(i) 2
(ii) -2
(iii) -3
(iv) 3

(ii)-2

Q13. The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is

(i) ±√6
(ii) ± 4
(iii) ±3√2
(iv) ±2√6

(iv) ±2√6

Q14. If √x −1 − √x +1+1=0 , then 4x is equal to

(i) 4 √−1
(ii) 0
(iii) 5
(iv) 1/4×1

(iii) 5

Q15. Which of the following equations has the sum of its roots as 3?

(i) x2 + 3x –5 = 0
(ii) – x2 + 3x + 3 = 0
(iii) 2×2 – 3/2x –1 = 0
(iv) 3×2 –3x –3 = 0

(ii) – x2 + 3x + 3 = 0

Q16. The quadratic equation whose roots are 1 and

(i) 2x² + x – 1 = 0
(ii) 2x² – x – 1 = 0
(iii) 2x² + x + 1 = 0
(iv) 2x² – x + 1 = 0

(ii) 2x² – x – 1 = 0

Q17. The roots of quadratic equation 2x² + x + 4 = 0 are:

(i) Positive and negative
(ii) Both Positive
(iii) Both Negative
(iv) No real roots

(iv) No real roots

Q18. Find the two consecutive odd positive integers, sum of whose square is 290

(i) 15, 17
(ii) 9, 11
(iii) 13, 15
(iv) 11, 13

(iv) 11, 13

Q19. The roots of the equation 3x + 5 (x)1/2 = √2 can be found by solving

(i) 9×2 + 28x + 25 = 0
(ii) 9×2 + 30x + 25 = 0
(iii) 9×2 + 28x – 25 = 0
(iv) 16×2 + 22x – 30 = 0

(i) 9×2 + 28x + 25 = 0

Q20. If the roots of ax2 + bx + c = 0 are in the ratio m : n, then

(i) mna² = (m + n) c²
(ii) mnb² = (m + n) ac
(iii) mn b² = (m + n)² ac
(iv) mnb² = (m – n)² ac

(iii) mn b² = (m + n)² ac

Q21. The sum of the reciprocals of Rehman’s ages 3 years ago and 5 years from now is 1/3. The present age of Rehman is:

(i) 7
(ii) 10
(iii) 5
(iv) 6

(i) 7

Q22. If a, p are the roots of the equation (x – a) (x – b) + c = 0, then the roots of the equation (x – a) (x – P) = c are

(i) a, b
(ii) a, c
(iii) b, c
(iv) none of these

(i) a, b

Q23. Two numbers whose sum is 12 and the absolute value of whose difference is 4 are the roots of the equation

(i) x² – 12x + 30 = 0
(ii) x² – 12x + 32 = 0
(iii) 2x² – 6x + 7 = 0
(iv) 2x² – 24x + 43 = 0

(ii) x² – 12x + 32 = 0

Q24. The quadratic equation whose one of the roots is (3 – 5 ), is

(i) x² – 6x + 4 = 0
(ii) 3x² + 5x + 2 = 0
(iii) x² – 2x + 7 = 0
(iv) 2x² + 3x + 5 = 0

(i) x² – 6x + 4 = 0

Q25. If a, p are the roots of the equation (x – a) (x – b) + c = 0, then the roots of the equation (x – a) (x – P) = c are

(i) a, b
(ii) a, c
(iii) b, c
(iv) none of these

(i) a, b

Q26. If one root of equation 4x²-2x+k-4=0 is reciprocal of other. The value of k is:

(i) -8
(ii) 8
(iii) -4
(iv) 4

(ii) 8

Q27. The roots of the equation (b – c) x² + (c – a) x + (a – b) = 0 are equal, then

(i) 2a = b + c
(ii) 2c = a + b
(iii) b = a + c
(iv) 2b = a + c

(iv) 2b = a + c

Q28. Which of the following equations has two distinct real roots?

(i) 2x² – 3 √2x + 9/4 = 0
(ii) x² + x – 5 = 0
(iii) x² + 3x + 2 √2 = 0
(iv) 5x² – 3x + 1 = 0

(ii) x² + x – 5 = 0

Q29. If the roots of px2 + qx + 2 = 0 are reciprocal of each other, then

(i) P = 0
(ii) p = -2
(iii) p = ±2
(iv) p = 2

(iv) p = 2

Q30. One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Their present ages are

(i) 7 years, 49 years
(ii) 5 years, 25 years
(iii) 1 years, 50 years
(iv) 6 years, 49 years

(i) 7 years, 49 years

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MCQ Questions for Class 10 Mathematicss with Answers

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