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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

Which term is missing in the equation \(x^2 - 13x = 0\)?EasyLevel 29Which of the following equations is a pure quadratic equation?EasyLevel 29What is obtained when \(x=-3\) is substituted into the equation \(x^2+6x+9=0\)?EasyLevel 29Which of the following quadratic equations represents the coefficients a = 3, b = -4, c = -2?EasyLevel 29If a = 2, b = 0, c = -18, what is the quadratic equation in standard form?EasyLevel 29Which of the following equations becomes \(x^2+2x-8=0\) after writing it in standard form (i.e., bringing all terms to the left)?EasyLevel 29What is the value of \(a+b+c\) for the equation \(5x^2+5x+5=0\)?EasyLevel 29For the equation \(4x^2-2x-6=0\), what is the value of \(a-b+c\)?EasyLevel 29What is the degree of \(6x^2-5x+2=0\)?EasyLevel 29Which of the following is the factorised form of \\(x^2 + x - 12 = 0\\)?EasyLevel 29If the side of a square is \\(x+2)\\ and the area is \\49\\, which equation is formed?EasyLevel 29The product of two consecutive positive even numbers is 48. If the smaller number is x, what is the equation?EasyLevel 29Which option shows the mistake while converting (x^2=6x+7) to standard form?EasyLevel 29Which equation in the standard form ax^2+bx+c=0 is obtained when (x+3)^2 = 25 is written in standard form?EasyLevel 29Which condition is correct for ((k-1)x^2+3x+2=0) to remain quadratic?EasyLevel 29Which statement about a quadratic equation is false?EasyLevel 29What is the expanded form of (2x+1)(x-4)=0?EasyLevel 29If \(x=-1\) is a solution of \(x^2+mx-6=0\), what is the value of \(m\)?EasyLevel 29What is the general form of a quadratic equation?EasyLevel 30Which of the following is a quadratic equation?EasyLevel 30

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