Nature of Roots of Quadratic Polynomial
Nature of Roots of Quadratic Polynomial
Nature of Roots of Quadratic Polynomial:
The Value of Discriminant decides the nature of roots of a quadratic Polynomial.
Case 1: If , then the roots are real and equal
Case 2: If , then the roots are real and unequal.
Case 3: If , then the roots are imaginary
Example: Without solving the equation identify the nature of roots
Solution: Comparing the equation with the standard form
a = 2, b = 5 and c = 5, Then
As the discriminant is less than zero so the roots are imaginary
Example: Find the value of k for which the equation has real and equal roots
Solution: Comparing the equation with the standard form
a = 1, b = -2(1+3k) and c = 7(3+2k), Then
As the roots are real and equal, so D = 0
If the quadratic equation | |||
| Right Option : A | |||
| View Explanation | |||
For what value of 'k', the equation | |||
| Right Option : A | |||
| View Explanation | |||
The roots of 2 | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
