Free download NCERT Solutions for class 10 Maths chapter 4 Exercise 4.1 Quadratic Equations in Hindi Medium and English Medium PDF form for CBSE Board as well as UP Board & Uttarakhand Board students using NCERT Books. All solutions are updated as per the suggestions received by students/teachers/parents based on latest CBSE Syllabus 2018-2019. These solutions are available do download (Exercise 4.1) in PDF form or view it online given below.
NCERT Solutions for class 10 Maths chapter 4 Exercise 4.1
Class 10 Maths Chapter 4 Solutions – English Medium
NCERT Solutions for class 10 Maths chapter 4 Exercise 4.1 Quadratic Equations all question-answers in English to online to view. Click here to go back to Class 10 Maths Chapter 4 solutions. If you need Chapter 4 Exercise 4.1 in Hindi Medium. CLICK HERE for Hindi Medium Solutions.
कक्षा १० गणित की प्रश्नावली ४.१ के हल – हिंदी माध्यम
NCERT Solutions for class 10 Maths chapter 4 Exercise 4.1 Quadratic equations in Hindi medium are given below. Click here to move to Class 10 Maths Chapter 4 to see other exercises. Go back to English Medium Solutions.
Important Terms Related to Quadratic Equations
- Quadratic Equation: An equation of the form ax² + bx + c = 0, a ≠ 0 is called a quadratic equation in one variable x, where a, b and c are constants. For example 2 x² – 3x + 1 = 0
- Roots of a Quadratic Equation: Let ax² + bx + c = 0, be a quadratic equation. If α is a root of this equation. It means x = α satisfies this equation i.e., aα² + bα+ c = 0.
- Discriminant: For the quadratic equation ax² + bx + c = 0 the expression is called the discriminant and denoted by D. Then the roots of the quadratic equation are given by (–b ± √D)/2a.
- Number of Roots: A quadratic equation has two roots, one roots or no roots, it is depending the value of D.
- If D > 0, it has two distinct real roots.
- If D = 0, it has two equal roots.
- If D < 0, there is no real roots.
- Methods for Solving Quadratic Equation
- By factorization
- By completing the square
- By Quadratic Formula
- Quadratic Formula to find roots of ax² + bx + c = 0 is given by x = (– b – √D)/2a and x = (– b + √D)/2a.