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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

In the equation \(-x^2+3x+10=0\), what is the value of \(a\)?EasyLevel 28 Which of the following expresses the equation \(x^2+6x+9=0\) in factorised form?EasyLevel 28 Which of the following values is a solution of the equation \(x^2 + x - 6 = 0\)?EasyLevel 28 If an equation in x has degree 2, what is it called?EasyLevel 28 Which of the following contains the \(x^2\) term?EasyLevel 28 What is the linear term in the equation \(2x^2+0x-7=0\)?EasyLevel 28 Which of the following equations is equivalent to \(x^2+2x+1=0\)?EasyLevel 28 Write \(x^2-16=0\) in factorised (factor) form.EasyLevel 28 If \(x=1\), what is the value of the left-hand side of \(x^2+2x-3=0\)?EasyLevel 28 In the equation \(7x^2-14=0\), what are the coefficients (a), (b) and (c)?EasyLevel 28 Which of the following equations is quadratic in x but not in y?EasyLevel 28 What is the standard form of \(3x(x-2)=0\)?EasyLevel 28 If \(p(x)=x^2-1\), what is \(p(1)\)?EasyLevel 28 In the equation \(2x^2+3x+1=0\), which term is the constant term?EasyLevel 28 Which term is absent in the equation \(x^2+10x=0\)?EasyLevel 28 Which equation is a pure quadratic like \(x^2+5=0\)?EasyLevel 28 What happens when \(x=-2\) is substituted into the equation \(x^{2}+4x+4=0\)?EasyLevel 28 Given the standard quadratic form \(ax^2+bx+c=0\), which equation corresponds to \(a=2,\ b=-5,\ c=3\)?EasyLevel 28 If \(a=1\), \(b=0\), \(c=-25\), what is the quadratic equation in standard form?EasyLevel 28 Which equation becomes x² − 7x + 10 = 0 after writing it in standard form?EasyLevel 28