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
What equation do we obtain when we substitute \(x=4\) into \(x^2-8x+16=0\)?EasyLevel 29For the equation 12x^2 = 0, what are a, b and c respectively?EasyLevel 29Write \(2x(x+7)=0\) in standard form \(ax^2+bx+c=0\).EasyLevel 29What is the expanded (standard quadratic) form of \((x+4)(x+5)=0\)?EasyLevel 29What is the standard form of the equation \((x-6)(x+2)=0\)?EasyLevel 29What is the coefficient of (x^2) in (x^2+12x+36=0)?EasyLevel 29In the equation \( -2x^{2}+5x-1=0 \), what is the value of \(a\) according to the standard form \(ax^{2}+bx+c=0\)?EasyLevel 29Which of the following expresses \(x^2+10x+25=0\) in factorised (product) form?EasyLevel 29Which of the following is a solution of the quadratic equation \(x^2-3x-10=0\)?EasyLevel 29If the highest power (degree) of the variable in an equation is \(2\), what is that equation called?EasyLevel 29Which of the following expressions clearly contains the \(x^2\) term?EasyLevel 29What is the linear term in the equation \(9x^2+0x+2=0\)?EasyLevel 29Which of the following equations is equivalent to \(x^2-6x+9=0\)?EasyLevel 29How do we write \(x^2-49=0\) in factorised (factor) form?EasyLevel 29If \(x=2\), what is the left-hand side of the equation \(x^2+5x-14=0\)?EasyLevel 29In the equation \(3x^2-21=0\), what are the values of \(a, b, c\)?EasyLevel 29Which of the following equations is quadratic in \(t\)?EasyLevel 29What is the standard form of the equation \(4x(x-3)=0\)?EasyLevel 29If \(p(x)=x^2-4\), what is the value of \(p(2)\)?EasyLevel 29In the quadratic equation 6x^2 + x − 8 = 0, which term is the constant term?EasyLevel 29