Class 10 Exam > Class 10 Questions > If a pair of linear equations is consistent,...
Start Learning for Free
If a pair of linear equations is consistent, then the lines are:
- a)Parallel
- b)Always coincident
- c)Always intersecting
- d)Intersecting or coincident
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If a pair of linear equations is consistent, then the lines are:a)Par...
Because the two lines definitely have a solution.
View all questions of this test
Most Upvoted Answer
If a pair of linear equations is consistent, then the lines are:a)Par...
Explanation:
Consistent Linear Equations:
- When a pair of linear equations have a solution, they are said to be consistent.
- This means that the lines represented by the equations will intersect at a single point.
- The point of intersection is the solution to the system of equations.
Intersecting or Coincident Lines:
- If the lines represented by the pair of linear equations have different slopes, they will intersect at a single point.
- This is the most common scenario when dealing with consistent linear equations.
- However, if the equations represent the same line, then the lines are coincident.
- Coincident lines have infinite points of intersection, as they are essentially the same line.
Parallel Lines:
- In the case of parallel lines, the pair of linear equations have the same slope but different y-intercepts.
- When solving the system of equations, you will find that there is no point of intersection.
- This results in parallel lines that do not intersect at any point.
Therefore, if a pair of linear equations is consistent, the lines represented by the equations can either be intersecting or coincident. This means that the lines may intersect at a single point or coincide with each other, depending on the specific equations involved in the system.
Consistent Linear Equations:
- When a pair of linear equations have a solution, they are said to be consistent.
- This means that the lines represented by the equations will intersect at a single point.
- The point of intersection is the solution to the system of equations.
Intersecting or Coincident Lines:
- If the lines represented by the pair of linear equations have different slopes, they will intersect at a single point.
- This is the most common scenario when dealing with consistent linear equations.
- However, if the equations represent the same line, then the lines are coincident.
- Coincident lines have infinite points of intersection, as they are essentially the same line.
Parallel Lines:
- In the case of parallel lines, the pair of linear equations have the same slope but different y-intercepts.
- When solving the system of equations, you will find that there is no point of intersection.
- This results in parallel lines that do not intersect at any point.
Therefore, if a pair of linear equations is consistent, the lines represented by the equations can either be intersecting or coincident. This means that the lines may intersect at a single point or coincide with each other, depending on the specific equations involved in the system.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer?
Question Description
If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? 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 If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer?.
If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? 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 If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If a pair of linear equations is consistent, then the lines are:a)Parallelb)Always coincidentc)Always intersectingd)Intersecting or coincidentCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup