PDF chapter test

### 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 problem I Difficulty: easy 2 3 Two mark example problem II Difficulty: easy 2 4 Two mark example problem III Difficulty: easy 2 5 Two mark example problem IV Difficulty: easy 12 6 Two mark example problem III Difficulty: easy 4 7 Two mark exercise problem I Difficulty: easy 2 8 Two mark exercise problem II Difficulty: easy 2 9 Two mark exercise problem IV Difficulty: easy 2 10 Two mark exercise problem V Difficulty: easy 2 11 Two mark exercise problem V Difficulty: easy 2 12 Two mark exercise problem VI Difficulty: medium 6 13 Two mark exercise problem IV Difficulty: medium 2 14 Two mark exercise problem IV Difficulty: medium 2 15 Five mark example problem I Difficulty: medium 5 16 Five mark example problem II Difficulty: medium 5 17 Five mark example problem III Difficulty: medium 5 18 Five mark example problem IV Difficulty: medium 5 19 Five mark example problem V Difficulty: medium 15 20 Five mark exercise problem VI Difficulty: medium 5 21 Five mark exercise problem VII Difficulty: medium 5 22 Five mark exercise problem VIII Difficulty: medium 5 23 Five mark exercise problem IX Difficulty: medium 5 24 Five mark exercise problem X Difficulty: hard 5 25 Five mark exercise problem XI Difficulty: hard 5 26 Five mark exercise problem XII Difficulty: hard 10 27 Five mark exercise problem XIII Difficulty: hard 15 28 Five mark exercise problem XIV Difficulty: hard 5 29 Five mark exercise problem XV Difficulty: hard 5 30 Five mark exercise problem XVI 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 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