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The distance of the point (x , y) from Y axis is
- a)x
- b)|x|
- c)|y|
- d)y
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The distance of the point (x , y) from Y axis isa)xb)|x|c)|y|d)yCorrec...
Distance is a metric, a bifunction d, which is always non-negative, along with being symmetric, satisfies the triangle inequality, and the identity of indiscernibles (i.e., d(x,y)=0⟺x=y)
d(x,y)=0⟺x=y). The “nearest” distance from a point (x1,y1) to the y-axis in 2-space is along the line y=y1. (orthogonal to the y-axis). This line interests the y-axis exactly at the point (0,y1). Using the Euclidean distance metric on R2, one obtains:
d((x,y),(0,y))= √(x−0)2+(y−y)2
= |x|
d(x,y)=0⟺x=y). The “nearest” distance from a point (x1,y1) to the y-axis in 2-space is along the line y=y1. (orthogonal to the y-axis). This line interests the y-axis exactly at the point (0,y1). Using the Euclidean distance metric on R2, one obtains:
d((x,y),(0,y))= √(x−0)2+(y−y)2
= |x|
Most Upvoted Answer
The distance of the point (x , y) from Y axis isa)xb)|x|c)|y|d)yCorrec...
Explanation:
To find the distance of a point (x, y) from the y-axis, we need to consider the x-coordinate of the point. The x-coordinate gives us the horizontal position of the point on the coordinate plane. Since we are interested in the distance from the y-axis, the x-coordinate represents the distance of the point from the y-axis.
Distance from Y-axis:
The distance of a point (x, y) from the y-axis is given by the absolute value of the x-coordinate.
Explanation of options:
Let's analyze each option to understand which one represents the distance of the point (x, y) from the y-axis.
a) x
Option 'a' represents the x-coordinate, which is the horizontal position of the point. It does not represent the distance from the y-axis. Therefore, option 'a' is incorrect.
b) |x|
Option 'b' represents the absolute value of the x-coordinate. Since we are interested in the distance, we need to consider the magnitude of the x-coordinate without considering its sign. Therefore, option 'b' is correct.
c) |y|
Option 'c' represents the absolute value of the y-coordinate. However, we are interested in the distance from the y-axis, not the y-coordinate itself. Therefore, option 'c' is incorrect.
d) y
Option 'd' represents the y-coordinate, which is the vertical position of the point. It does not represent the distance from the y-axis. Therefore, option 'd' is incorrect.
Conclusion:
The correct answer is option 'b' because the absolute value of the x-coordinate represents the distance of the point (x, y) from the y-axis.
To find the distance of a point (x, y) from the y-axis, we need to consider the x-coordinate of the point. The x-coordinate gives us the horizontal position of the point on the coordinate plane. Since we are interested in the distance from the y-axis, the x-coordinate represents the distance of the point from the y-axis.
Distance from Y-axis:
The distance of a point (x, y) from the y-axis is given by the absolute value of the x-coordinate.
Explanation of options:
Let's analyze each option to understand which one represents the distance of the point (x, y) from the y-axis.
a) x
Option 'a' represents the x-coordinate, which is the horizontal position of the point. It does not represent the distance from the y-axis. Therefore, option 'a' is incorrect.
b) |x|
Option 'b' represents the absolute value of the x-coordinate. Since we are interested in the distance, we need to consider the magnitude of the x-coordinate without considering its sign. Therefore, option 'b' is correct.
c) |y|
Option 'c' represents the absolute value of the y-coordinate. However, we are interested in the distance from the y-axis, not the y-coordinate itself. Therefore, option 'c' is incorrect.
d) y
Option 'd' represents the y-coordinate, which is the vertical position of the point. It does not represent the distance from the y-axis. Therefore, option 'd' is incorrect.
Conclusion:
The correct answer is option 'b' because the absolute value of the x-coordinate represents the distance of the point (x, y) from the y-axis.
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Community Answer
The distance of the point (x , y) from Y axis isa)xb)|x|c)|y|d)yCorrec...
Perpendicular distance from the point (x,y) from y- axis is:- |x|.
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The distance of the point (x , y) from Y axis isa)xb)|x|c)|y|d)yCorrect answer is option 'B'. Can you explain this answer?
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The distance of the point (x , y) from Y axis isa)xb)|x|c)|y|d)yCorrect 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 The distance of the point (x , y) from Y axis isa)xb)|x|c)|y|d)yCorrect 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 The distance of the point (x , y) from Y axis isa)xb)|x|c)|y|d)yCorrect answer is option 'B'. Can you explain this answer?.
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