UPSKILL MATH PLUS
Learn Mathematics through our AI based learning portal with the support of our Academic Experts!
Learn moreMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Nature of roots | Learn about nature of roots and how to find them. |
| 2. | Some example problems based on nature of roots | Learn to do some problems based on nature of roots. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the nature of the roots of the quadratic equations | 2nd type - interpretation | easy | 2 m. | Practice problem to find the nature of roots of the quadratic equations. |
| 2. | Find the discriminant of the quadratic equations | 2nd type - interpretation | easy | 2 m. | Practice problem to find the discriminant of the given quadratic equations. |
| 3. | Determine the possibility of the given situation | 3rd type - analysis | easy | 2 m. | Try to find the possibility of the given situation. |
| 4. | Find the discriminant and its nature of roots | 2nd type - interpretation | medium | 4 m. | Work on the problem to find the discriminant, and its nature of roots. |
| 5. | Find the value of the variable for equal roots | 2nd type - interpretation | medium | 4 m. | In this exercise, find the value of the variable for equal roots. |
| 6. | Find the value(s) of 'k' for distinct roots of the equation | 3rd type - analysis | medium | 4 m. | Work on the problem to find the value(s) of 'k' for distinct roots of the equation. |
| 7. | Find the nature of roots and determine them if its real. | 2nd type - interpretation | medium | 3 m. | In this exercise, determine the nature of roots, and find them if its real. |
| 8. | Pick the correct statement: Nature of roots | 3rd type - analysis | medium | 4 m. | In this exercise, pick the correct statement using nature of roots. |
| 9. | Find the value of 'p' and the roots of the equation | 3rd type - analysis | hard | 5 m. | Work on the problem to find the value of 'p', and the roots of the equation. |
| 10. | Find the integers if the situation is possible | 3rd type - analysis | hard | 5 m. | In this exercise, find the integers if the situation is possible. |
| 11. | Find the possibility of the given situation | 3rd type - analysis | hard | 5 m. | Work on the problem to find the possibility of the given situation, if its possible find the length and breadth. |
| 12. | Case study: Nature of roots | 3rd type - analysis | hard | 5 m. | In this exercise, understand the given situation and answer the following questions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Obtain the value of the variable 'p' for the quadratic equation | Other | medium | 4 m. | Work on the problem to find the value of the variable 'p' for the given equation. |
| 2. | Obtain the value(s) of 'k' if the equation has equal roots | Other | medium | 4 m. | In this exercise, obtain the value(s) of 'k' if the equation has equal roots. |
| 3. | Determine the possibility of the given situation | Other | hard | 5 m. | Analyse the problem and find its possibility to create. |
| 4. | Prove the equation by nature of its roots | Other | hard | 5 m. | Analyse the problem, and prove the given equation by using nature of its roots. |
| 5. | Find the roots of quadratic equation | Other | medium | 1 m. | To find the nature of the roots of quadratic equation |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | medium | 8 m. | |
| 2. | Training test II | 00:20:00 | medium | 9 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 13 m. | |
| 2. | Homework II | 00:25:00 | hard | 19 m. | |
| 3. | Progress test | 00:20:00 | medium | 13 m. | |
| 4. | Periodic Assessment | 00:20:00 | medium | 2 m. | PA 2 |
Register for free to see more content