Podcast
Questions and Answers
If the sum of the zeroes of the quadratic polynomial $ax^2 + bx + c$ is equal to the product of its zeroes, then which of the following is true?
If the sum of the zeroes of the quadratic polynomial $ax^2 + bx + c$ is equal to the product of its zeroes, then which of the following is true?
The lines represented by the equations $x + 2y - 4 = 0$ and $2x + 4y - 12 = 0$ are parallel.
The lines represented by the equations $x + 2y - 4 = 0$ and $2x + 4y - 12 = 0$ are parallel.
True (A)
Find the value of $k$ for which the quadratic equation $2x^2 + kx + 3 = 0$ has two equal real roots.
Find the value of $k$ for which the quadratic equation $2x^2 + kx + 3 = 0$ has two equal real roots.
$k = \pm 2\sqrt{6}$
If $\alpha$ and $\beta$ are the zeroes of the polynomial $x^2 - 6x + k$, and $3\alpha + 2\beta = 20$, then the value of $k$ is ____.
If $\alpha$ and $\beta$ are the zeroes of the polynomial $x^2 - 6x + k$, and $3\alpha + 2\beta = 20$, then the value of $k$ is ____.
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Match the following conditions for the nature of roots of a quadratic equation $ax^2 + bx + c = 0$ with their corresponding discriminant values:
Match the following conditions for the nature of roots of a quadratic equation $ax^2 + bx + c = 0$ with their corresponding discriminant values:
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Flashcards
CBSE Class 10 Test Paper
CBSE Class 10 Test Paper
A formal assessment paper for Class 10 syllabus as per CBSE guidelines.
Polynomials
Polynomials
Mathematical expressions consisting of variables and coefficients, involving addition, subtraction, multiplication, and non-negative integer exponents.
Quadratic Equations
Quadratic Equations
A polynomial equation of degree 2, typically in the form ax² + bx + c = 0.
Linear Equations
Linear Equations
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Marking Scheme
Marking Scheme
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Study Notes
Study Notes: CBSE Class 10 - Polynomials, Quadratic Equations, Linear Equations
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Polynomials: A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Key concepts include degree, coefficients, roots, and factorisation.
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Quadratic Equations: A quadratic equation is a polynomial equation of degree 2. Standard form: ax² + bx + c = 0 (where a, b, c are constants and a ≠ 0). Solving methods include factoring, completing the square, and the quadratic formula. Key concepts include roots, discriminant, and nature of roots.
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Linear Equations: A linear equation is an equation of degree 1. Standard form: Ax + By = C (where A, B, C are constants, and A and B are not both zero). Key concepts include solution methods, substitution method, elimination method, graphical representation, and applications (word problems).
Types of Questions (Expected in CBSE Exam)
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Multiple Choice Questions (MCQs): These assess basic understanding of concepts and definitions. Expect questions on identifying types of polynomials, properties of quadratic equations, and the solutions of linear equations.
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Short Answer Questions (SA): These require concise explanations and application of formulas or simple problem-solving steps. Example: Factoring a quadratic expression, finding the roots of a simple quadratic equation, solving a system of two linear equations.
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Long Answer Questions (LA): These require detailed explanations and comprehensive solutions. Example: Solving a problem using quadratic formula, deriving properties of parabola, real-life applications of quadratic or linear equations. These should be more elaborate on concept explaining or problem-solving with derivations or steps. Expect in-depth questions on solving word problems with quadratic relationships to test your understanding of the problem context.
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Case-Based Questions: These are designed to test your ability to apply learned concepts to real-world scenarios. Expect problems on relationships from daily life (e.g., finding profit/loss or other calculation scenarios) where applying quadratic/linear relations is necessary.
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Previous Year Questions (PYQs): Review past board papers to understand question types and expected difficulty levels. Expect questions related to identifying polynomials, solving equations, and problems in contextual scenarios. Pay close attention to how these concepts are combined (connecting all topics in the exam paper).
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Description
This quiz covers essential concepts from the CBSE Class 10 mathematics syllabus, focusing on polynomials, quadratic equations, and linear equations. Test your understanding of degree, roots, and methods of solving these types of equations. Get ready to solidify your knowledge in algebra!
