Methodical recommendation:

Theory

Number Name Description
1. Nature of roots Learn about nature of roots and how to find them.

Practice Questions

Number Name Type Difficulty Marks Description
1. Find the nature of the roots of the quadratic equations Other easy 1 m. Practice problem to find the nature of roots of the quadratic equations.
2. Nature of roots Other easy 2 m. Try to find the nature of the roots.
3. Find the discriminant and its nature of roots Other medium 2 m. Work on the problem to find the discriminant, and its nature of roots.
4. Find the value(s) of 'k' for distinct roots of the equation Other medium 2 m. Work on the problem to find the value(s) of 'k' for distinct roots of the equation.
5. Find the value of 'p' and the roots of the equation Other hard 5 m. Work on the problem to find the value of 'p', and the roots of the equation.
6. Verify the relation between roots and coefficients of the quadratic equation Other hard 5 m. To verfiy the relation between the roots and coefficients of a quadratic equation.
7. Determine the value of k Other hard 5 m. Determine the value of 'k'.
8. Case study: Nature of roots Other hard 5 m. In this exercise, understand the given situation and answer the following questions.