Class 11 Exam > Class 11 Questions > A straight line passes through the point (2,3...
Start Learning for Free
A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?
Verified Answer
A straight line passes through the point (2,3) and is such that the su...
AS LINE PASSES THROUGH (X,Y) = (2,3), SUM OF INTERCEPT OF COORDINATES IS 10.
Equation : - 2X+3Y = 10
This question is part of UPSC exam. View all Class 11 courses
Most Upvoted Answer
A straight line passes through the point (2,3) and is such that the su...
Given:
- A straight line passes through the point (2,3).
- The sum of its intercepts on the coordinate axes is 10.
To find:
- The equation of the straight line.
Approach:
1. Let's assume the equation of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
2. We are given that the line passes through the point (2,3), so we can substitute these values into the equation to get 3 = 2m + c.
3. Now, we need to find the intercepts on the coordinate axes. The x-intercept is the point where the line crosses the x-axis, so the y-coordinate will be 0. Similarly, the y-intercept is the point where the line crosses the y-axis, so the x-coordinate will be 0.
4. The sum of the intercepts on the coordinate axes is given as 10. Therefore, we can write the equation 0 + (0 * m) + c = 10.
5. Simplifying the equation, we get c = 10.
6. Substituting the value of c into the equation from step 2, we get 3 = 2m + 10.
7. Solving for m, we get m = -7.
8. Finally, substituting the values of m and c into the equation y = mx + c, we get the equation y = -7x + 10.
Answer:
The equation of the straight line passing through the point (2,3) and with the sum of its intercepts on the coordinate axes as 10 is y = -7x + 10.
- A straight line passes through the point (2,3).
- The sum of its intercepts on the coordinate axes is 10.
To find:
- The equation of the straight line.
Approach:
1. Let's assume the equation of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
2. We are given that the line passes through the point (2,3), so we can substitute these values into the equation to get 3 = 2m + c.
3. Now, we need to find the intercepts on the coordinate axes. The x-intercept is the point where the line crosses the x-axis, so the y-coordinate will be 0. Similarly, the y-intercept is the point where the line crosses the y-axis, so the x-coordinate will be 0.
4. The sum of the intercepts on the coordinate axes is given as 10. Therefore, we can write the equation 0 + (0 * m) + c = 10.
5. Simplifying the equation, we get c = 10.
6. Substituting the value of c into the equation from step 2, we get 3 = 2m + 10.
7. Solving for m, we get m = -7.
8. Finally, substituting the values of m and c into the equation y = mx + c, we get the equation y = -7x + 10.
Answer:
The equation of the straight line passing through the point (2,3) and with the sum of its intercepts on the coordinate axes as 10 is y = -7x + 10.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?
Question Description
A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?.
A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?.
Solutions for A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? defined & explained in the simplest way possible. Besides giving the explanation of
A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?, a detailed solution for A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? has been provided alongside types of A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? theory, EduRev gives you an
ample number of questions to practice A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup