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Needed a Document for Chpater - 3 Pair of linear equations in two variables class 10th arhiant mcq with solutions and explanation?
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Chapter 3: Pair of Linear Equations in Two Variables
Pair of linear equations in two variables is an important topic in Class 10 mathematics. Here, we will focus on Arhiant MCQs along with their solutions and explanations.
MCQs:
1. Which of the following is a pair of linear equations in two variables?
a) 3x + 2y = 5
b) x^2 + y^2 = 9
c) 2x - 4y = 8
d) x + y = 2
2. The number of solutions for a pair of linear equations in two variables can be:
a) One
b) Infinite
c) None
d) All of the above
3. If two lines represented by a pair of linear equations are parallel, then:
a) They intersect at a single point
b) They intersect at two points
c) They do not intersect
d) They intersect at infinity
Solutions and Explanations:
1. Option (a) 3x + 2y = 5 is a pair of linear equations in two variables. The standard form of linear equations is ax + by = c, where a, b, and c are constants.
2. Option (d) All of the above is correct. The solutions for a pair of linear equations can be one unique solution, infinite solutions (when the two equations represent the same line), or no solution (when the lines are parallel and distinct).
3. Option (c) They do not intersect is correct. If two lines represented by a pair of linear equations are parallel, they do not intersect, and hence, there is no solution to the system of equations.
Understanding these MCQs and their solutions will help you grasp the concepts of pair of linear equations in two variables effectively.
Pair of linear equations in two variables is an important topic in Class 10 mathematics. Here, we will focus on Arhiant MCQs along with their solutions and explanations.
MCQs:
1. Which of the following is a pair of linear equations in two variables?
a) 3x + 2y = 5
b) x^2 + y^2 = 9
c) 2x - 4y = 8
d) x + y = 2
2. The number of solutions for a pair of linear equations in two variables can be:
a) One
b) Infinite
c) None
d) All of the above
3. If two lines represented by a pair of linear equations are parallel, then:
a) They intersect at a single point
b) They intersect at two points
c) They do not intersect
d) They intersect at infinity
Solutions and Explanations:
1. Option (a) 3x + 2y = 5 is a pair of linear equations in two variables. The standard form of linear equations is ax + by = c, where a, b, and c are constants.
2. Option (d) All of the above is correct. The solutions for a pair of linear equations can be one unique solution, infinite solutions (when the two equations represent the same line), or no solution (when the lines are parallel and distinct).
3. Option (c) They do not intersect is correct. If two lines represented by a pair of linear equations are parallel, they do not intersect, and hence, there is no solution to the system of equations.
Understanding these MCQs and their solutions will help you grasp the concepts of pair of linear equations in two variables effectively.
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Needed a Document for Chpater - 3 Pair of linear equations in two variables class 10th arhiant mcq with solutions and explanation? Related: Math Class 10 CBSE (Recorded Lectures)?
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Needed a Document for Chpater - 3 Pair of linear equations in two variables class 10th arhiant mcq with solutions and explanation? Related: Math Class 10 CBSE (Recorded Lectures)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Needed a Document for Chpater - 3 Pair of linear equations in two variables class 10th arhiant mcq with solutions and explanation? Related: Math Class 10 CBSE (Recorded Lectures)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Needed a Document for Chpater - 3 Pair of linear equations in two variables class 10th arhiant mcq with solutions and explanation? Related: Math Class 10 CBSE (Recorded Lectures)?.
Needed a Document for Chpater - 3 Pair of linear equations in two variables class 10th arhiant mcq with solutions and explanation? Related: Math Class 10 CBSE (Recorded Lectures)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Needed a Document for Chpater - 3 Pair of linear equations in two variables class 10th arhiant mcq with solutions and explanation? Related: Math Class 10 CBSE (Recorded Lectures)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Needed a Document for Chpater - 3 Pair of linear equations in two variables class 10th arhiant mcq with solutions and explanation? Related: Math Class 10 CBSE (Recorded Lectures)?.
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