# SEBA Class 10 Mathematics MCQ Chapter 4 Quadratic Equation

SEBA Class 10 Mathematics MCQ Chapter 4 Quadratic Equation Question Answer in English Medium, Class 10 General Maths Multiple Choice Question Answer in English to each chapter is provided in the list so that you can easily browse throughout different chapters SEBA Class 10 Mathematics MCQ Chapter 4 Quadratic Equation Notes and select need one.

## SEBA Class 10 Mathematics MCQ Chapter 4 Quadratic Equation

Also, you can read the SCERT book online in these sections Solutions by Expert Teachers as per SCERT (CBSE) Book guidelines. These solutions are part of SCERT All Subject Solutions. Here we have given Assam SEBA Class 10 Mathematics MCQ Chapter 4 Quadratic Equation Solutions for All Subject, You can practice these here.

Chapter – 4

1. Which of the following is not a quadratic equation.

(a) x² + 3x – 5 = 0

(b) x² + x3 + 2 = 0

(c) 3 + x + x² = 0

(d) x² – 9 = 0

Ans: (b) x² + x3 + 2 = 0

2. The quadratic equation has degree.

(a) 0

(b) 1

(c) 2

(d) 3

Ans: (c) 2

3. If a and p are the roots of the equation 2x² – 3x – 6 = 0. The equation whose roots are  1/α  and 1/ β  is:

(a) 6x² – 3x + 2 = 0

(b) 6x² + 3x – 2 = 0

(c) 6x² – 3x – 2 = 0

(d) x² + 3x-2 = 0

Ans: (b) 6x² + 3x – 2 = 0

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

(a) P = 0

(b) p = -2

(c) p = ±2

(d) p = 2

Ans: (d) p = 2

5. The roots of the equation 7x² + x – 1 = 0 are:

(a) real and distinct

(b) real and equal

(c) not real

(d) none of these

Ans: (a) real and distinct

6. The sum of the squares of two consecutive natural numbers is 313. The numbers are:

(a) 12, 13

(b) 13,14

(c) 11,12

(d) 14,15

Ans: (a) 12, 13

7. 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:

(a) 7 years, 49 years

(b) 5 years, 25 years

(c) 1 years, 50 years

(d) 6 years, 49 years

Ans: (a) 7 years, 49 years

8. The number of roots of the equation (x + 2)3 = x ^ 3 – 4:

(a) 4

(b) 3

(c) 2

(d) 1

Ans: (c) 2

9. A chess board contains 64 equal squares and the area of each square is 6.25 cm². A border round the board is 2 cm wide. The length of the side of the chess board is:

(a) 8 cm

(b) 12 cm

(c) 24 cm

(d) 36 cm

Ans: (c) 24 cm

10. If the roots of the equations ax² + 2bx + c = 0 and bx² – 2√ac x + b = 0 are simultaneously real, then:

(a) b = ac

(b) b2 = ac

(c) a2 = be

(d) c2 = ab

Ans: (b) b2 = ac

11. If -5 is a root of the quadratic equation 2x² + px – 15 = 0, then:

(a) p = 3

(b) p = 5

(c) p = 7

(d) p = 1

Ans: (c) p = 7

12. The roots of the equation 7x² + x – 1 = 0 are:

(a) real and distinct

(b) real and equal

(c) not real

(d) none of these

Ans: (a) real and distinct

13. If one root of the quadratic equation 2x² + kx – 6 = 0 is 2, the value of k is:

(a) 1

(b) -1

(c) 2

(d) -2

Ans: (b) -1

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

(a) P = 0

(b) p = -2

(c) p = ±2

(d) p = 2

Ans: (d) p = 2

15. Mohan and Sohan solve an equation. In solving Mohan commits a mistake in constant term and finds the roots 8 and 2. Sohan commits a mistake in the coefficient of x. The correct roots are:

(a) 9,1

(b) -9,1

(c) 8, -1

(d) -7, -1

Ans: (a) 9,1

16. 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:

(a) a, b

(b) a, c

(c) b, c

(d) none of these

Ans: (a) a, b

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

(a) mna² = (m + n) c²

(b) mnb² = (m + n) ac

(c) mn b² = (m + n)² ac

(d) mnb² = (m – n)² ac

Ans: (c) mn b² = (m + n)² ac

18. The sum of the roots of the quadratic equation 3×2 – 9x + 5 = 0 is:

(a) 3

(b) 6

(c) -3

(d) 2

Ans: (c) – 3

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

(a) ±√6

(b) ± 4

(c) ±3√2

(d) ±2√6

Ans: (d) ±2√6

20. The quadratic equation whose roots are 1 and:

(a) 2x² + x – 1 = 0

(b) 2x² – x – 1 = 0

(c) 2x² + x + 1 = 0

(d) 2x² – x + 1 = 0

Ans: (d) 2x² – x + 1 = 0

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