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### Theory

 1 Nature of roots 2 Some example problems based on nature of roots

### Textbook Questions

 1 Multiple choice question Difficulty: easy 1 2 Determine the value of 'p' and 'q' Difficulty: medium 2 3 Find the value of the unknown variable I Difficulty: medium 2 4 Determine the value of 'k' and the roots of the equation I Difficulty: medium 5 5 Prove the statement Difficulty: hard 5

### Practice Questions

 1 Find the nature of the roots of the quadratic equations Difficulty: easy 2 2 Find the discriminant of the quadratic equations Difficulty: easy 2 3 Determine the possibility of the given situation Difficulty: easy 2 4 Identify the quadratic equation Difficulty: easy 2 5 Find the discriminant and its nature of roots Difficulty: medium 2 6 Find the value(s) of 'k' for distinct roots of the equation Difficulty: medium 1 7 Find the nature of roots and determine them if its real. Difficulty: medium 2 8 Find the roots of the quadratic equation Difficulty: medium 2 9 Feed me! Difficulty: medium 2 10 Make the given expression in terms of α + β and αβ Difficulty: medium 2 11 Find the value of the given expressions Difficulty: medium 5 12 Find the value of 'p' and the roots of the equation Difficulty: hard 5 13 Find the integers if the situation is possible Difficulty: hard 5 14 Find the possibility of the given situation Difficulty: hard 5 15 Case study: Nature of roots Difficulty: hard 5 16 Verify the relation between roots and coefficients of the quadratic equation Difficulty: hard 5 17 Find the quadratic equations for the given roots Difficulty: hard 5 18 Find the value of 't' and the roots of the equation Difficulty: hard 5

### Key Questions for School Exam Preparation

 1 Find the value of 'k' Difficulty: easy 1 2 Determine the value Difficulty: medium 2 3 Prove the following Difficulty: medium 5 4 Form a quadratic equation Difficulty: hard 5

### Teacher manual

 1 Methodical recommendation