{"id":62161,"date":"2022-02-07T17:00:38","date_gmt":"2022-02-07T11:30:38","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=62161"},"modified":"2022-02-07T17:25:11","modified_gmt":"2022-02-07T11:55:11","slug":"quadratic-equations-class-10-notes","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/quadratic-equations-class-10-notes\/","title":{"rendered":"Quadratic Equations Class 10 Notes Maths Chapter 4"},"content":{"rendered":"

CBSE Class 10 Maths Notes Chapter 4 Quadratic Equations Pdf free download is part of Class 10 Maths Notes<\/a> for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 4 Quadratic Equations. According to new CBSE Exam Pattern,\u00a0MCQ Questions for Class 10 Maths<\/a> Carries 20 Marks. https:\/\/www.cbselabs.com\/quadratic-equations-class-10-notes\/<\/p>\n

CBSE Class 10 Maths Notes Chapter 4 Quadratic Equations<\/h2>\n

Quadratic Equation Class 10 Notes Chapter 4<\/strong><\/p>\n

A quadratic polynomial of the form ax\u00b2 + bx + c, where a \u2260 0 and a, b, c are real numbers, is called a quadratic equation
\nwhen ax\u00b2 + bx + c = 0.
\nHere a and b are the coefficients of x\u00b2 and x respectively and ‘c’ is a constant term.<\/p>\n

Any value is a solution of a quadratic equation if and only if it satisfies the quadratic equation.<\/p>\n

Quadratic formula:<\/strong> The roots, i.e., \u03b1 and \u03b2 of a quadratic equation ax\u00b2 + bx + c = 0 are given
\nby \\(\\frac { -b\\pm \\sqrt { D } }{ 2a } \\) or \\(\\frac { -b\\pm \\sqrt { { b }^{ 2 }-4ac } }{ 2a } \\) provided b\u00b2 – 4ac \u2265 0.<\/p>\n

Here, the value b\u00b2 – 4ac is known as the discriminant and is generally denoted by D. ‘D’ helps us to determine the nature of roots for a given quadratic equation. Thus D = b\u00b2 – 4ac.<\/p>\n

Quadratic Equation Class 10 Notes Pdf Chapter 4 <\/strong><\/p>\n

The rules are:<\/strong><\/p>\n

    \n
  1. If D = 0 \u21d2 The roots are Real and Equal.<\/li>\n
  2. If D > 0 \u21d2 The two roots are Real and Unequal.<\/li>\n
  3. If D < 0 \u21d2 No Real roots exist.<\/li>\n<\/ol>\n

    If \u03b1 and \u03b2 are the roots of the quadratic equation, then Quadratic equation is x\u00b2 – (\u03b1 + \u03b2) x + \u03b1\u03b2 = 0 Or x\u00b2 – (sum of roots) x + product of roots = 0<\/p>\n

    where, Sum of roots (\u03b1 + \u03b2) = \\(\\frac { -coefficient\\quad of\\quad x }{ coefficient\\quad of\\quad { x }^{ 2 } } =\\frac { -b }{ a } \\)<\/p>\n

    Product of roots (\u03b1 x \u03b2) = \\(\\frac { coefficient\\quad term }{ coefficient\\quad of\\quad { x }^{ 2 } } =\\frac { c }{ a } \\)<\/p>\n

    \n

    Quadratic Equation Notes Chapter 4 Class 10<\/strong><\/p>\n

    Class 10 Maths Notes<\/h3>\n