PDF chapter test TRY NOW

Methodical recommendation:

Theory

Number Name Description
Number 1. Name Nature of roots Description Learn about nature of roots and how to find them.
Number 2. Name Some example problems based on nature of roots Description Learn to do some problems based on nature of roots.

Textbook Questions

Number Name Type Difficulty Marks Description
Number 1. Name Multiple choice question Type Other Difficulty easy Marks 1 m. Description Select the suitable choice for the given question.
Number 2. Name Two mark example problem I Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.
Number 3. Name Two mark example problem II Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.
Number 4. Name Two mark example problem III Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.
Number 5. Name Two mark example problem IV Type Other Difficulty easy Marks 12 m. Description Try to find the values of the given question.
Number 6. Name Two mark example problem III Type Other Difficulty easy Marks 4 m. Description Try to answer the given questions.
Number 7. Name Two mark exercise problem I Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.
Number 8. Name Two mark exercise problem II Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.
Number 9. Name Two mark exercise problem IV Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.
Number 10. Name Two mark exercise problem V Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.
Number 11. Name Two mark exercise problem V Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.
Number 12. Name Two mark exercise problem VI Type Other Difficulty medium Marks 6 m. Description Try to answer the given questions.
Number 13. Name Two mark exercise problem IV Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 14. Name Two mark exercise problem IV Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 15. Name Five mark example problem I Type Other Difficulty medium Marks 5 m. Description Determine the value of 'k'.
Number 16. Name Five mark example problem II Type Other Difficulty medium Marks 5 m. Description Determine the value of 'k'.
Number 17. Name Five mark example problem III Type Other Difficulty medium Marks 5 m. Description Try to answer the given questions.
Number 18. Name Five mark example problem IV Type Other Difficulty medium Marks 5 m. Description Try to answer the given questions.
Number 19. Name Five mark example problem V Type Other Difficulty medium Marks 15 m. Description Practice a problem to find the values of the given expression.
Number 20. Name Five mark exercise problem VI Type Other Difficulty medium Marks 5 m. Description Try to find the values of 'a'.
Number 21. Name Five mark exercise problem VII Type Other Difficulty medium Marks 5 m. Description Work on the problem to find the value of 'k' and the roots of the equation.
Number 22. Name Five mark exercise problem VIII Type Other Difficulty medium Marks 5 m. Description Practice a problem to find the values of 'p' and 'q'.
Number 23. Name Five mark exercise problem IX Type Other Difficulty medium Marks 5 m. Description Work on the problem to find the value of the unknown variable using the given information.
Number 24. Name Five mark exercise problem X Type Other Difficulty hard Marks 5 m. Description Determine the value of 'k'.
Number 25. Name Five mark exercise problem XI Type Other Difficulty hard Marks 5 m. Description Determine the value of 'k'.
Number 26. Name Five mark exercise problem XII Type Other Difficulty hard Marks 10 m. Description Try to answer the given questions.
Number 27. Name Five mark exercise problem XIII Type Other Difficulty hard Marks 5 m. Description Try to find the values of the given expressions.
Number 28. Name Five mark exercise problem XIV Type Other Difficulty hard Marks 5 m. Description Prove the statement using nature of the roots.
Number 29. Name Five mark exercise problem XV Type Other Difficulty hard Marks 5 m. Description Prove the statement using nature of the roots.
Number 30. Name Five mark exercise problem XVI Type Other Difficulty hard Marks 5 m. Description Prove the statement using nature of the roots.

Practice Questions

Number Name Type Difficulty Marks Description
Number 1. Name Find the nature of the roots of the quadratic equations Type Other Difficulty easy Marks 2 m. Description Practice problem to find the nature of roots of the quadratic equations.
Number 2. Name Find the discriminant of the quadratic equations Type Other Difficulty easy Marks 2 m. Description Practice problem to find the discriminant of the given quadratic equations.
Number 3. Name Determine the possibility of the given situation Type Other Difficulty easy Marks 2 m. Description Try to find the possibility of the given situation.
Number 4. Name Identify the quadratic equation Type Other Difficulty easy Marks 2 m. Description Practice problem to form a quadratic equation when roots are given.
Number 5. Name Find the discriminant and its nature of roots Type Other Difficulty medium Marks 2 m. Description Work on the problem to find the discriminant, and its nature of roots.
Number 6. Name Find the value(s) of 'k' for distinct roots of the equation Type Other Difficulty medium Marks 2 m. Description Work on the problem to find the value(s) of 'k' for distinct roots of the equation.
Number 7. Name Find the nature of roots and determine them if its real. Type Other Difficulty medium Marks 2 m. Description In this exercise, determine the nature of roots, and find them if its real.
Number 8. Name Find the roots of the quadratic equation Type Other Difficulty medium Marks 2 m. Description To find the roots of the quadratic equation using its sum and product.
Number 9. Name Feed me! Type Other Difficulty medium Marks 2 m. Description To match the columns based on suitable relation.
Number 10. Name Make the given expression in terms of α + β and αβ Type Other Difficulty medium Marks 2 m. Description Practice problem to write the expression in terms of α + β and αβ.
Number 11. Name Find the value of the given expressions Type Other Difficulty medium Marks 5 m. Description Work on the problem to find the value of the expressions using the given information.
Number 12. Name Find the value of 'p' and the roots of the equation Type Other Difficulty hard Marks 5 m. Description Work on the problem to find the value of 'p', and the roots of the equation.
Number 13. Name Find the integers if the situation is possible Type Other Difficulty hard Marks 5 m. Description In this exercise, find the integers if the situation is possible.
Number 14. Name Find the possibility of the given situation Type Other Difficulty hard Marks 5 m. Description Work on the problem to find the possibility of the given situation, if its possible find the length and breadth.
Number 15. Name Case study: Nature of roots Type Other Difficulty hard Marks 5 m. Description In this exercise, understand the given situation and answer the following questions.
Number 16. Name Verify the relation between roots and coefficients of the quadratic equation Type Other Difficulty hard Marks 5 m. Description To verfiy the relation between the roots and coefficients of a quadratic equation.
Number 17. Name Find the quadratic equations for the given roots Type Other Difficulty hard Marks 5 m. Description In this exercise, find the quadratic equaitons using the given information.
Number 18. Name Find the value of 't' and the roots of the equation Type Other Difficulty hard Marks 5 m. Description In this exercise, find the value of the unknown variable and the roots of the given equation.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
Number 1. Name Find the value of 'k' Type Other Difficulty easy Marks 1 m. Description Select the correct choice for the given question.
Number 2. Name Determine the value Type Other Difficulty medium Marks 2 m. Description Try to find the value of the given question.
Number 3. Name Prove the following Type Other Difficulty medium Marks 0 m. Description Try to prove the given statement.
Number 4. Name Form a quadratic equation Type Other Difficulty hard Marks 5 m. Description Practice a problem to frame the quadratic equation.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
Number 1. Name Obtain the value(s) of 'k' if the equation has equal roots Type Other Difficulty medium Marks 2 m. Description In this exercise, obtain the value(s) of 'k' if the equation has equal roots.
Number 2. Name Obtain the value of the variable 'p' for the quadratic equation Type Other Difficulty medium Marks 5 m. Description Work on the problem to find the value of the variable 'p' for the given equation.
Number 3. Name Find the value of the following Type Other Difficulty medium Marks 5 m. Description Find the values of the given expressions using the quadratic equation.
Number 4. Name Determine the quadratic equation Type Other Difficulty medium Marks 5 m. Description To find the quadratic equation for the given condition.
Number 5. Name Determine the possibility of the given situation Type Other Difficulty hard Marks 5 m. Description Analyse the problem and find its possibility to create.
Number 6. Name Prove the equation by nature of its roots Type Other Difficulty hard Marks 5 m. Description Analyse the problem, and prove the given equation by using nature of its roots.
Number 7. Name Choose the quadratic equations for the given roots Type Other Difficulty hard Marks 5 m. Description In this exercise, choose the quadratic equations for the given roots.
Number 8. Name Nature of roots Type Other Difficulty easy Marks 2 m. Description Try to find the nature of the roots.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Homework I Recomended time: 00:15:00 Difficulty easy Marks 8 m. Description
Number 2. Name Homework II Recomended time: 00:15:00 Difficulty easy Marks 10 m. Description
Number 3. Name Homework III Recomended time: 00:15:00 Difficulty easy Marks 13 m. Description
Number 4. Name Homework IV Recomended time: 00:20:00 Difficulty medium Marks 15 m. Description
Number 5. Name Homework V Recomended time: 00:20:00 Difficulty medium Marks 16 m. Description
Number 6. Name Homework VI Recomended time: 00:25:00 Difficulty medium Marks 19 m. Description
Number 7. Name Revision test I Recomended time: 00:25:00 Difficulty medium Marks 20 m. Description
Number 8. Name Revision test II Recomended time: 00:25:00 Difficulty hard Marks 20 m. Description
Number 9. Name Revision test III Recomended time: 00:25:00 Difficulty hard Marks 20 m. Description
Number 10. Name Revision test IV Recomended time: 00:25:00 Difficulty hard Marks 22 m. Description
Number 11. Name Revision test V Recomended time: 00:45:00 Difficulty hard Marks 35 m. Description
Number 12. Name Revision test VI Recomended time: 00:45:00 Difficulty hard Marks 35 m. Description
Number 13. Name Periodic Assessment Recomended time: 00:10:00 Difficulty medium Marks 2 m. Description