Math Chapter 2 Theory of Quadratic Equation Mcqs Test Online 10th Grade Punjab Boards

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Question 1 of 16

Math

1. 1/α + 1/β is equal to:

1.α – β/αβ

2.1/α – 1/β

3.1/α

4.α+β/αβ

Question 1 of 16

Question 2 of 16

2. If α, β are the roots of px² + qx + r = 0, then sum of the roots 2α and 2β is:

1.–q/p

2.–2q/p

3.q/–2p

4.r/p

Question 2 of 16

Question 3 of 16

3. Tow square roots of unity are:

1.1, ω

2.ω, ω²

3.1, – 1

4.1, – ω

Question 3 of 16

Question 4 of 16

4. Cube roots of –1 are

1.– 1, – ω, ω²

2.– 1, – ω, – ω²

3.1, – ω, – ω²

4.– 1, ω, – ω²

Question 4 of 16

Question 5 of 16

5. If b² – 4ac > 0, but not a perfect square then roots of ax² + bx + c = 0 are

1.Rational

2.Imaginary

3.None of these

4.Irrational

Question 5 of 16

Question 6 of 16

6. Sum of the cube roots of unity is

1.3

2.1

3.–1

4.0

Question 6 of 16

Question 7 of 16

7. If α, β are the roots of x² – x – 1 = 0, then product of the roots 2α and 2β is:

1.–2

2.–4

3.4

4.2

Question 7 of 16

Question 8 of 16

8. Roots of the equation 4x² – 5x + 2 = 0 are

1.Irrational

2.Rational

3.Imaginary

4.None of these

Question 8 of 16

Question 9 of 16

9. If b² – 4ac < 0, then the roots of ax² + bx + c = 0 are

1.Irrational

2.Imaginary

3.None of these

4.Rational

Question 9 of 16

Question 10 of 16

10. α² + β² is equal to:

1.α + β

2.α² – β²

3.(α + β)² – 2αβ

4.1/α² + 1/β²

Question 10 of 16

Question 11 of 16

11. Product of cube roots of unity is:

1.0

2.1

3.3

4.–1

Question 11 of 16

Question 12 of 16

12. Roots of the equation 4x² – 4x + 1 = 0 are

1.Real, equal

2.Irrational

3.Real, unequal

4.Imaginary

Question 12 of 16

Question 13 of 16

13. The discriminant of ax² + bx + c = 0 is

1.b² + 4ac

2.– b² – 4ac

3.– b² + 4ac

4.b² – 4ac

Question 13 of 16

Question 14 of 16

14. If α, β are the roots of 7x² – x + 4 = 0, then αβ is

1.–4/7

2.4/7

3.7/4

4.–1/7

Question 14 of 16

Question 15 of 16

15. The nature of the roots of equation ax² + bx + c = 0 is determined by:

1.Sum of the roots

2.Synthetic division

3.Discriminant

4.Product of the roots

Question 15 of 16

Question 16 of 16

16. If α, β are the roots of 3x² + 5x – 2 = 0, then α + β is

1.3/5

2.–5/3

3.5/4

4.–2/3

Question 16 of 16

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