Mathematics
Introduction to Quadratic Equations
द्विघात समीकरणों का परिचय
Introduction to Quadratic Equations, part of the Class 10 Mathematics chapter Quadratic Equations, helps students recognise equations of degree two and write them in the standard form ax² + bx + c = 0, where a ≠ 0. Students learn the meaning of coefficients, variables, and constants, identify quadratic equations from examples, and understand how their roots or solutions relate to the equation. The topic builds a foundation for solving quadratic equations by methods such as factorisation and applying the quadratic formula.
Practice questions
Which of the following equations is a quadratic equation?EasyLevel 28What is the value of \(a\) in the equation \(5x^2-2x+9=0\)?EasyLevel 28What is the value of \(b\) in \(3x^2+7x-4=0\)?EasyLevel 28In the equation \(4x^2-8x+1=0\), what is the value of \(c\)?EasyLevel 28In the quadratic equation \(x^2-6x=0\), what is the value of the constant term (c)?EasyLevel 28What is the value of \(x\) in the equation \(9x^2 + 11 = 0\)?EasyLevel 28Under which condition is the equation \(ax^2+bx+c=0\) called a quadratic equation?EasyLevel 28What is the standard form of the equation \(2x^2+5x=3\)?EasyLevel 28What is the standard form of the equation \(x^2 = 4x + 12\)?EasyLevel 28Which of the following equations is written in the standard form \(ax^2+bx+c=0\)?EasyLevel 28If \(x=2\), what is the value of the left-hand side of the equation \(x^2-5x+6=0\)?EasyLevel 28Which value is one solution of \(x^2-9=0\)?EasyLevel 28What do we get when we substitute \(x=2\) into the equation \(x^2-4x+4=0\)?EasyLevel 28Which is the standard form of a quadratic equation, where \(a\ne 0\)?EasyLevel 28Which of the following equations is not a quadratic equation?EasyLevel 28For the equation \(6x^2=0\), what are a, b and c respectively?EasyLevel 28Write the expression \\(x(x+5)=0\\) in the standard quadratic form \\(ax^2+bx+c=0\\).EasyLevel 28What is the expanded form of (x+2)(x+3)=0?EasyLevel 28What is the standard form of \((x-4)(x+1)=0\)?EasyLevel 28What is the coefficient of (x^2) in (x^2+8x+16=0)?EasyLevel 28