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
Why is (0x^2+2x+3=0) not quadratic?EasyLevel 30Which equation is obtained by expanding \((x+1)(x+2)=0\)?EasyLevel 30What is the standard form of the equation \(x^2 = 7\)?EasyLevel 30What are the roots of \(x^2-1=0\)?EasyLevel 30What are the roots of \(x^2=9\)?EasyLevel 30Which quadratic equation has roots (0) and (-3)?EasyLevel 30Is \(x=1\) a root of the equation \(x^2 - x = 0\)?EasyLevel 30What is the expression (p(x)=x^2+2x+1)?EasyLevel 30What is the degree of the equation (x^2+1=0)?EasyLevel 30What is the coefficient of \(x\) in the equation \(2x^2 - x + 8 = 0\)?EasyLevel 30What is the value of (c) in (x^2+7x=0)?EasyLevel 30What is the standard form of \(x(x-5)=0\)?EasyLevel 30What is the standard form of the equation \(x^2 = 6x\)?EasyLevel 30Which equation has the highest power, 2, of the variable?EasyLevel 30Why is (\frac{1}{x^2}+x+1=0) not a quadratic equation?EasyLevel 30Why is (\sqrt{x}+x^2=0) not considered a quadratic equation in the usual form?EasyLevel 30What is the standard form of \((x+1)^2 = 0\)?EasyLevel 30If \(x=2\) is a root of the quadratic equation \(x^2+kx+2=0\), what is the value of \(k\)?EasyLevel 30If \(a=3,\; b=0,\; c=-12\), which is the corresponding quadratic equation?EasyLevel 30Which term is absent in (2x^2+5=0)?EasyLevel 30