Nature of roots and relation between roots and coefficients of quadratic equation

1.	Find the nature of the roots of the quadratic equations Difficulty: easy	1
2.	Nature of roots Difficulty: easy	2
3.	Find the discriminant and its nature of roots Difficulty: medium	2
4.	Find the value(s) of 'k' for distinct roots of the equation Difficulty: medium	2
5.	Find the value of 'p' and the roots of the equation Difficulty: hard	5
6.	Verify the relation between roots and coefficients of the quadratic equation Difficulty: hard	5
7.	Determine the value of k Difficulty: hard	5
8.	Case study: Nature of roots Difficulty: hard	5

Methodical recommendation

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