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Generate question paper for class 10 cbse for maths chapter are real no, polynomial,pair of linear equation, quadratic equation, arithmetic progression, triangle and coordinate geometry?
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Class 10 CBSE Mathematics Question Paper
Chapter 1: Real Numbers
- Define irrational numbers and give two examples.
- Explain the Euclid’s division lemma with an example.
- Show that √2 is an irrational number.
Chapter 2: Polynomials
- Define a polynomial and classify polynomials based on their degrees.
- If p(x) = 2x^2 + 3x - 5, find p(2).
- Verify if x - 1 is a factor of p(x) = x^3 - 3x^2 + 4x - 4.
Chapter 3: Pair of Linear Equations
- Solve the following system of equations using the substitution method:
1. 2x + 3y = 6
2. 4x - y = 11
- Explain the graphical method of solving linear equations.
Chapter 4: Quadratic Equations
- Solve the quadratic equation x^2 - 5x + 6 = 0 by factorization.
- Discuss the nature of the roots of the equation ax^2 + bx + c = 0 based on the discriminant.
Chapter 5: Arithmetic Progression
- Find the 10th term of the arithmetic progression where the first term is 3 and the common difference is 5.
- If the sum of the first n terms of an AP is 150, and the first term is 5, find the common difference.
Chapter 6: Triangles
- State and prove the Pythagorean theorem.
- In triangle ABC, if AB = AC, prove that angle B = angle C.
Chapter 7: Coordinate Geometry
- Find the distance between the points A(2, 3) and B(5, 7).
- Determine the coordinates of the midpoint of the line segment joining the points (4, 6) and (8, 2).
This question paper aims to test the understanding and application of key concepts in each chapter, ensuring a comprehensive assessment of the knowledge acquired in Class 10 mathematics.
Chapter 1: Real Numbers
- Define irrational numbers and give two examples.
- Explain the Euclid’s division lemma with an example.
- Show that √2 is an irrational number.
Chapter 2: Polynomials
- Define a polynomial and classify polynomials based on their degrees.
- If p(x) = 2x^2 + 3x - 5, find p(2).
- Verify if x - 1 is a factor of p(x) = x^3 - 3x^2 + 4x - 4.
Chapter 3: Pair of Linear Equations
- Solve the following system of equations using the substitution method:
1. 2x + 3y = 6
2. 4x - y = 11
- Explain the graphical method of solving linear equations.
Chapter 4: Quadratic Equations
- Solve the quadratic equation x^2 - 5x + 6 = 0 by factorization.
- Discuss the nature of the roots of the equation ax^2 + bx + c = 0 based on the discriminant.
Chapter 5: Arithmetic Progression
- Find the 10th term of the arithmetic progression where the first term is 3 and the common difference is 5.
- If the sum of the first n terms of an AP is 150, and the first term is 5, find the common difference.
Chapter 6: Triangles
- State and prove the Pythagorean theorem.
- In triangle ABC, if AB = AC, prove that angle B = angle C.
Chapter 7: Coordinate Geometry
- Find the distance between the points A(2, 3) and B(5, 7).
- Determine the coordinates of the midpoint of the line segment joining the points (4, 6) and (8, 2).
This question paper aims to test the understanding and application of key concepts in each chapter, ensuring a comprehensive assessment of the knowledge acquired in Class 10 mathematics.
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Generate question paper for class 10 cbse for maths chapter are real no, polynomial,pair of linear equation, quadratic equation, arithmetic progression, triangle and coordinate geometry?
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Generate question paper for class 10 cbse for maths chapter are real no, polynomial,pair of linear equation, quadratic equation, arithmetic progression, triangle and coordinate geometry? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Generate question paper for class 10 cbse for maths chapter are real no, polynomial,pair of linear equation, quadratic equation, arithmetic progression, triangle and coordinate geometry? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Generate question paper for class 10 cbse for maths chapter are real no, polynomial,pair of linear equation, quadratic equation, arithmetic progression, triangle and coordinate geometry?.
Generate question paper for class 10 cbse for maths chapter are real no, polynomial,pair of linear equation, quadratic equation, arithmetic progression, triangle and coordinate geometry? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Generate question paper for class 10 cbse for maths chapter are real no, polynomial,pair of linear equation, quadratic equation, arithmetic progression, triangle and coordinate geometry? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Generate question paper for class 10 cbse for maths chapter are real no, polynomial,pair of linear equation, quadratic equation, arithmetic progression, triangle and coordinate geometry?.
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