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

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

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

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

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

1.

Methodical recommendation

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