## JEE Advanced Maths Quadratic Equations Important Questions from PYQs with Solutions

## FAQs on JEE Advanced Quadratic Equations Important Questions

**1. According to chapter Quadratic Equations for JEE Advanced, what are the maximum and minimum values of roots of a quadratic equation?**

For the equation ax^{2}+bx+c,

If a <0, then the expression has the greatest value at x = -b/2a. The maximum value of the root is -D/4a.

If a >0, then the expression has the least value at x = -b/2a. The minimum value of the root is -D/4a.

**2. Which book is best for preparing quadratic equations for JEE Advanced?**

Many experts and toppers have suggested Govorov - function and quadratic equations practice quadratic equations for JEE advanced Maths. Students can buy the book online and offline. There is also material provided on Vedantu. Apart from textbooks, students are required to refer to previous year question papers and solve as many as possible to improve their scores in the exam.

**3. Is it difficult to score well in JEE advanced Maths?**

Students found it difficult to solve the maths part in JEE advanced 2020. However, with proper practice, some students have scored well in their exam and cleared it. Proper guidance is needed to have conceptual clarity. You can study various materials available on Vedantu for better understanding. To get some extra concepts, students can refer to previous year questions and also some reference books. Practicing as many questions as possible will reduce the time taken to solve problems in exams.

**4. What are the 4 ways to solve a quadratic equation?**

The four different methods to solve a Quadratic equation is factorization, using square roots, completing the square and finally using the quadratic formula. If the students are asked to solve an equation in a particular format, then they are supposed to do it respectively. If the question does not mention any particular format, the student may follow his choice to solve the equation.

**5. How to access material related to JEE advanced from Vedantu?**

Students have a lot of qualified material on Vedantu. They can visit the homepage of the website. Then click the study material tab on top. Then select the competitive exams tab and select JEE advanced from it. We provide all the material for free. Students can download it and study it offline or access it from their laptops, tablets and mobile phones. Vedantu also provides material for other competitive and board examinations.

6. How do you improve quadratic equations?

Quadratic equations are already in a good form (ax^2 + bx + c = 0) for solving for the unknown variable (x). However, you might want to:

Factor the equation to reveal relationships between the roots (if possible).

Complete the square to rewrite the equation in a form suitable for applying the quadratic formula.

7. Can a quadratic formula have two solutions?

Yes, a quadratic formula always has two solutions. These solutions may be:

Two distinct real numbers (if the discriminant is positive).

A repeated real number (if the discriminant is zero).

Two complex numbers (if the discriminant is negative).

8. How many solutions can a quadratic equation have *?

A quadratic equation can have 0, 1, or 2 solutions. This depends on the discriminant $(b^2 - 4ac)$:

Positive discriminant: 2 distinct real number solutions.

Zero discriminant: 1 repeated real number solution.

Negative discriminant: 2 complex number solutions (not real numbers).

9. How many solutions can a quadratic system have?

A quadratic system (two quadratic equations) can have 0, 1, 2, or 4 solutions, depending on the relationship between the equations.

10. Can a quadratic have 1 solution?

Yes, a quadratic equation can have 1 solution (repeated). This occurs when the discriminant is zero $(b^2 - 4ac = 0)$. In this case, the quadratic formula reduces to a single solution with a double root.

11. How many possible roots can a quadratic equation have?

A quadratic equation can have a maximum of 2 roots. These roots may be real numbers (as discussed above) or complex numbers.

12. Why is it called a quadratic equation?

The term "quadratic" refers to the degree of the highest term $(x^2)$ in the equation. A quadratic equation is a polynomial equation of the second degree.

13. How many variables does a quadratic equation have?

A quadratic equation typically has one variable, usually represented by x. However, you can have quadratic equations in multiple variables, but the equation itself would no longer be of the second degree.

14. What is the infinite solution of a quadratic equation?

Quadratic equations generally don't have infinite solutions. Their solutions are determined by the coefficients (a, b, and c) and can be 0, 1, or 2 as discussed earlier.