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Subjects

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 is the degree of the equation 7x² − 4x + 9 = 0?EasyLevel 30In the equation \(x^2-5x+6=0\), matching it with the standard form \(ax^2+bx+c=0\), what are the values of \(a, b, c\)?EasyLevel 30For the quadratic equation \(ax^2+bx+c=0\), what condition must the coefficient \(a\) satisfy?EasyLevel 30Is \(x=2\) a root of the equation \(x^2-4=0\)?EasyLevel 30The square of a number (x) plus (3) times the number is (10). Which equation is correct?EasyLevel 30Why is 3x + 2 = 0 not a quadratic equation?EasyLevel 30What is the maximum number of roots of a quadratic equation?EasyLevel 30What is the coefficient of x² in 5x² − 2x + 1 = 0?EasyLevel 30What is the standard form of the equation \(4 = 3x - x^2\)?EasyLevel 30What is the linear term in (x^2-7=0)?EasyLevel 30What is the constant term in \(2x^2+3x-8=0\)?EasyLevel 30Which is the quadratic term in the equation \(6x^2 - x + 5 = 0\)?EasyLevel 30Which of the following is a pure quadratic equation?EasyLevel 30Which of the following is a monic quadratic equation?EasyLevel 30Is \(x=0\) a root of the equation \(x^2+5x=0\)?EasyLevel 30When will (m − 2)x² + 3x + 1 = 0 be quadratic?MediumLevel 30What is the discriminant of the quadratic equation \(ax^2+bx+c=0\)?EasyLevel 30If the discriminant \(D=b^2-4ac\) of a quadratic equation \(ax^2+bx+c=0\) equals 0, what will be the nature of its roots?EasyLevel 30If the discriminant (D<0), what is true about real roots?EasyLevel 30Which are the correct values of (a, b, c) in −x² + 4x − 1 = 0?EasyLevel 30