Mathematics
Quadratic Equations
द्विघात समीकरण
In Class 10 Mathematics, the chapter Quadratic Equations introduces equations of the form ax² + bx + c = 0 and explains their roots. Students learn to solve quadratic equations by factorisation, completing the square, and the quadratic formula. The chapter also examines how the discriminant determines the nature of roots and applies quadratic equations to suitable word problems and everyday mathematical situations.
1Introduction 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.
518 questionsRoots of a Quadratic Equation
द्विघात समीकरण के मूल
Roots of a Quadratic Equation, taught in Class 10 Mathematics under the chapter Quadratic Equations, introduces the values of the variable that make a quadratic expression equal to zero. Students learn to identify roots, verify them by substitution, and connect the sum and product of the roots with the coefficients. The topic also helps them form a quadratic equation when its roots are known and use these relationships to solve and check mathematical problems.
619 questionsMethods of Solving Quadratic Equations
द्विघात समीकरणों को हल करने की विधियाँ
In this Class 10 Mathematics topic from the chapter Quadratic Equations, students learn how to find the values of an unknown variable that satisfy a quadratic equation. They practise solving equations by factorisation, completing the square, and using the quadratic formula, while learning when each method is useful. The topic also develops skills in identifying coefficients, calculating the discriminant, checking solutions, and interpreting whether an equation has two, one, or no real roots.
591 questionsNature of Roots
मूलों की प्रकृति
In Class 10 Mathematics, Nature of Roots explains how to determine the type and number of solutions of a quadratic equation. Students use the discriminant, b² − 4ac, to identify whether an equation has two distinct real roots, two equal real roots, or no real roots. The topic connects algebraic calculations with the graph of a quadratic function and helps learners interpret equations, compare cases, and solve related problems from the chapter Quadratic Equations.
623 questionsWord Problems and Applications
द्विघात समीकरणों के शब्द-प्रश्न और अनुप्रयोग
Students learn to apply quadratic equations to practical word problems involving numbers, measurements, areas, dimensions, and related situations. The topic develops a step-by-step method for identifying unknown quantities, translating statements into algebraic equations, solving them by suitable methods, and checking whether the roots fit the original context. Students also practise rejecting impossible values and expressing answers with correct units, building confidence in interpreting mathematics beyond routine equation solving.
601 questions