Quant Exam > Quant Questions > If the mid – point of the line segment ...
Start Learning for Free
If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ are
- a)6, 8
- b)4, – 5
- c)6, – 8
- d)– 6, 8
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the mid – point of the line segment joining the points (a, b ...
Explanation:
Let the coordinates of midpoint O(2,−3) is equidistance from the points A(a,b−2) and B(−2,4).
Most Upvoted Answer
If the mid – point of the line segment joining the points (a, b ...
To find the values of a and b, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by the average of their x-coordinates and the average of their y-coordinates.
Midpoint formula:
(x, y) = ((x1 + x2)/2, (y1 + y2)/2)
Given that the midpoint of the line segment joining the points (a, b 2) and (2, 4) is (2, 3), we can set up the following equation:
(2, 3) = ((a + 2)/2, (b + 4)/2)
Simplifying the equation, we have:
2 = (a + 2)/2
3 = (b + 4)/2
To solve for a, we can cross-multiply:
4 = a + 2
Subtracting 2 from both sides, we get:
2 = a
Therefore, the value of a is 2.
To solve for b, we can again cross-multiply:
6 = b + 4
Subtracting 4 from both sides, we get:
2 = b
Therefore, the value of b is 2.
Hence, the values of a and b are both equal to 2.
Thus, the correct answer is option C: 6, 8.
Midpoint formula:
(x, y) = ((x1 + x2)/2, (y1 + y2)/2)
Given that the midpoint of the line segment joining the points (a, b 2) and (2, 4) is (2, 3), we can set up the following equation:
(2, 3) = ((a + 2)/2, (b + 4)/2)
Simplifying the equation, we have:
2 = (a + 2)/2
3 = (b + 4)/2
To solve for a, we can cross-multiply:
4 = a + 2
Subtracting 2 from both sides, we get:
2 = a
Therefore, the value of a is 2.
To solve for b, we can again cross-multiply:
6 = b + 4
Subtracting 4 from both sides, we get:
2 = b
Therefore, the value of b is 2.
Hence, the values of a and b are both equal to 2.
Thus, the correct answer is option C: 6, 8.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer?
Question Description
If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer?.
If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the mid – point of the line segment joining the points (a, b – 2) and ( – 2, 4) is (2, – 3), then the values of ‘a’ and ‘b’ area)6, 8b)4, – 5c)6, – 8d)– 6, 8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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