JEE Exam > JEE Questions > A line is drawn through the points (3 , 4) an...
Start Learning for Free
A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point is
- a)0
- b)- 2
- c)1
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A line is drawn through the points (3 , 4) and (5 , 6) . If the is ext...
Method to Solve :
View all questions of this test
Most Upvoted Answer
A line is drawn through the points (3 , 4) and (5 , 6) . If the is ext...
To find the abscissa of the point where the line is extended to an ordinate of 1, let's first find the equation of the line passing through the given points (3, 4) and (5, 6).
Finding the slope of the line:
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (3, 4) and (5, 6), the slope of the line is:
m = (6 - 4) / (5 - 3) = 2 / 2 = 1
Finding the equation of the line:
The equation of a line in slope-intercept form is given by:
y = mx + c
Substituting the slope (m = 1) and one of the given points (5, 6) into the equation, we can solve for the y-intercept (c):
6 = 1 * 5 + c
6 = 5 + c
c = 6 - 5
c = 1
So, the equation of the line is:
y = x + 1
Finding the abscissa of the extended point:
The extended point has an ordinate (y-coordinate) of 1. To find the abscissa (x-coordinate), we can substitute this value into the equation of the line and solve for x:
1 = x + 1
x = 1 - 1
x = 0
Therefore, the abscissa of the extended point is 0.
Finding the slope of the line:
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (3, 4) and (5, 6), the slope of the line is:
m = (6 - 4) / (5 - 3) = 2 / 2 = 1
Finding the equation of the line:
The equation of a line in slope-intercept form is given by:
y = mx + c
Substituting the slope (m = 1) and one of the given points (5, 6) into the equation, we can solve for the y-intercept (c):
6 = 1 * 5 + c
6 = 5 + c
c = 6 - 5
c = 1
So, the equation of the line is:
y = x + 1
Finding the abscissa of the extended point:
The extended point has an ordinate (y-coordinate) of 1. To find the abscissa (x-coordinate), we can substitute this value into the equation of the line and solve for x:
1 = x + 1
x = 1 - 1
x = 0
Therefore, the abscissa of the extended point is 0.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A line is drawn through the points (3 , 4) and (5 , 6) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point isa)0b)- 2c)1d)none of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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
|
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