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### Theory

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

### Exercises

 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 Find the discriminant and its nature of roots Difficulty: medium 4 5 Find the value of the variable for equal roots Difficulty: medium 4 6 Find the value(s) of 'k' for distinct roots of the equation Difficulty: medium 4 7 Find the nature of roots and determine them if its real. Difficulty: medium 3 8 Pick the correct statement: Nature of roots Difficulty: medium 4 9 Find the value of 'p' and the roots of the equation Difficulty: hard 5 10 Find the integers if the situation is possible Difficulty: hard 5 11 Find the possibility of the given situation Difficulty: hard 5 12 Case study: Nature of roots Difficulty: hard 5

### Tests

 1 Training test I Difficulty: medium 8 2 Training test II Difficulty: medium 9

### Teacher manual

 1 Methodical recommendation