 PUMPA - THE SMART LEARNING APP

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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 Two mark example problems - I Difficulty: easy 6 3 Two mark example problems - II Difficulty: easy 12 4 Two mark example problems - III Difficulty: easy 4 5 Two mark exercise problems - I Difficulty: easy 4 6 Two mark exercise problems - II Difficulty: easy 6 7 Two mark exercise problems - III Difficulty: medium 6 8 Two mark exercise problems - IV Difficulty: medium 4 9 Five mark example problems - I Difficulty: medium 10 10 Five mark example problems - II Difficulty: medium 10 11 Five mark example problems - III Difficulty: medium 15 12 Five mark exercise problems - I Difficulty: medium 5 13 Five mark exercise problems - II Difficulty: medium 5 14 Five mark exercise problems - III Difficulty: medium 5 15 Five mark exercise problems - IV Difficulty: medium 5 16 Five mark exercise problems - V Difficulty: hard 10 17 Five mark exercise problems - VI Difficulty: hard 10 18 Five mark exercise problems - VII Difficulty: hard 15 19 Five mark exercise problems - VIII Difficulty: hard 0

### 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 2 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 0 4 Form a quadratic equation Difficulty: hard 5

### Teacher manual

 1 Methodical recommendation