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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 of the following is a quadratic equation in (y)?EasyLevel 30In the standard form \(ax^2+bx+c=0\), which symbol denotes the coefficient of \(x^2\)?EasyLevel 30Is (x^2+4=0) a quadratic equation?EasyLevel 30In the standard quadratic equation (ax^2+bx+c=0), what is the maximum number of different terms?EasyLevel 30Is (2x^2=0) a quadratic equation?EasyLevel 30A rectangle has length (x+3) and breadth (x). If its area is (10), which quadratic equation is correct?EasyLevel 30What is the standard quadratic form of ((2x-3)(x+4)=0)?MediumLevel 28If ((k+1)x^2-5x+6=0) is a quadratic equation, what is the correct condition on (k)?MediumLevel 28For the equation \(3x^2-2x+7=0\), what is the value of \(a+b+c\)?MediumLevel 28What is the standard form of (5x-2x^2=9) with positive coefficient of (x^2)?MediumLevel 28Is \(x=3\) a root of the equation \(x^2-4x+3=0\)?MediumLevel 28If \(x=-2\) is a root of \(x^2+px-6=0\), what is the value of \(p\)?MediumLevel 28Which equation is quadratic but not written in standard form?MediumLevel 28What is the standard form of ((x-5)^2=16)?MediumLevel 28If the coefficients of a quadratic equation are a = 2, b = −7, c = 3, what is the quadratic equation in standard form?MediumLevel 28If (D=25), what is correct about the real roots of the quadratic equation?MediumLevel 28What is the sign of the discriminant (D) for the equation \(2x^2+3x+5=0\)?MediumLevel 28If the roots are (-2) and (5), what will be the monic quadratic equation?MediumLevel 28The sum of a number and its square is (42). Which equation is correct?MediumLevel 28The product of two consecutive positive integers is 56. If one integer is taken as x, which quadratic equation correctly represents this situation?MediumLevel 28

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