Commerce Exam > Commerce Questions > The equation of the line which passes through...
Start Learning for Free
The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis is
- a)x + y + 1 = 0
- b)x – y = 1
- c)x – y – 2 = 0
- d)x + y = 1
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The equation of the line which passes through the point (2 , - 3) and ...
The equation of a line passing through the point (2, -3) can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
Since the line cuts off equal intercepts from the x-axis and y-axis, the distance from the point (2, -3) to the x-axis is equal to the distance from the point (2, -3) to the y-axis.
The distance from a point (x, y) to the x-axis is given by |y|, and the distance from a point (x, y) to the y-axis is given by |x|. Therefore, |x - 2| = |-3| = 3.
Since the line passes through the point (2, -3), we can substitute x = 2 into the equation |x - 2| = 3 and solve for y. We get |2 - 2| = 3, which simplifies to 0 = 3, which is not true. Therefore, there is no line that passes through the point (2, -3) and cuts off equal intercepts from the x-axis and y-axis.
Therefore, the correct answer is: None of the above.
Since the line cuts off equal intercepts from the x-axis and y-axis, the distance from the point (2, -3) to the x-axis is equal to the distance from the point (2, -3) to the y-axis.
The distance from a point (x, y) to the x-axis is given by |y|, and the distance from a point (x, y) to the y-axis is given by |x|. Therefore, |x - 2| = |-3| = 3.
Since the line passes through the point (2, -3), we can substitute x = 2 into the equation |x - 2| = 3 and solve for y. We get |2 - 2| = 3, which simplifies to 0 = 3, which is not true. Therefore, there is no line that passes through the point (2, -3) and cuts off equal intercepts from the x-axis and y-axis.
Therefore, the correct answer is: None of the above.
Attention Commerce Students!
To make sure you are not studying endlessly, EduRev has designed Commerce study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Commerce.
|
Explore Courses for Commerce exam
|
|
Top Courses for CommerceView all
The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer?
Question Description
The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer?.
The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer?.
Solutions for The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Commerce.
Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free.
Here you can find the meaning of The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The equation of the line which passes through the point (2 , - 3) and cuts off equal intercepts from the axis isa)x + y + 1 = 0b)x – y = 1c)x – y – 2 = 0d)x + y = 1Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Commerce tests.
|
|
Explore Courses for Commerce 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