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The equation y 3=0 represents a line (a) parallel to the Y-axis (b) parallel to the X-axis (c) passing through origin (d) passing through the point (-3,0)?
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The equation y 3=0 represents a line (a) parallel to the Y-axis (b) pa...
Understanding the Equation y = 3
The equation y = 3 represents a specific type of line in the Cartesian coordinate system. Let's break down the implications of this equation.
What Does y = 3 Represent?
- The equation y = 3 indicates that for every value of x, the value of y will always be 3.
- This means that the line is horizontal and runs parallel to the X-axis.
Analysis of the Options
- (a) Parallel to the Y-axis:
- Incorrect. A line parallel to the Y-axis would have the form x = constant.
- (b) Parallel to the X-axis:
- Correct. Since y = 3 is constant irrespective of x, it runs horizontally.
- (c) Passing through the Origin:
- Incorrect. The origin is the point (0, 0), and y = 3 does not pass through this point.
- (d) Passing through the Point (-3, 0):
- Incorrect. The point (-3, 0) has a y-value of 0, while y = 3 has a constant y-value of 3.
Conclusion
The equation y = 3 is a horizontal line that runs parallel to the X-axis. It does not pass through the origin or the point (-3, 0). Understanding this concept is essential in graphing and interpreting linear equations.
The equation y = 3 represents a specific type of line in the Cartesian coordinate system. Let's break down the implications of this equation.
What Does y = 3 Represent?
- The equation y = 3 indicates that for every value of x, the value of y will always be 3.
- This means that the line is horizontal and runs parallel to the X-axis.
Analysis of the Options
- (a) Parallel to the Y-axis:
- Incorrect. A line parallel to the Y-axis would have the form x = constant.
- (b) Parallel to the X-axis:
- Correct. Since y = 3 is constant irrespective of x, it runs horizontally.
- (c) Passing through the Origin:
- Incorrect. The origin is the point (0, 0), and y = 3 does not pass through this point.
- (d) Passing through the Point (-3, 0):
- Incorrect. The point (-3, 0) has a y-value of 0, while y = 3 has a constant y-value of 3.
Conclusion
The equation y = 3 is a horizontal line that runs parallel to the X-axis. It does not pass through the origin or the point (-3, 0). Understanding this concept is essential in graphing and interpreting linear equations.
Community Answer
The equation y 3=0 represents a line (a) parallel to the Y-axis (b) pa...
(d)
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The equation y 3=0 represents a line (a) parallel to the Y-axis (b) parallel to the X-axis (c) passing through origin (d) passing through the point (-3,0)?
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The equation y 3=0 represents a line (a) parallel to the Y-axis (b) parallel to the X-axis (c) passing through origin (d) passing through the point (-3,0)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The equation y 3=0 represents a line (a) parallel to the Y-axis (b) parallel to the X-axis (c) passing through origin (d) passing through the point (-3,0)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation y 3=0 represents a line (a) parallel to the Y-axis (b) parallel to the X-axis (c) passing through origin (d) passing through the point (-3,0)?.
The equation y 3=0 represents a line (a) parallel to the Y-axis (b) parallel to the X-axis (c) passing through origin (d) passing through the point (-3,0)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The equation y 3=0 represents a line (a) parallel to the Y-axis (b) parallel to the X-axis (c) passing through origin (d) passing through the point (-3,0)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation y 3=0 represents a line (a) parallel to the Y-axis (b) parallel to the X-axis (c) passing through origin (d) passing through the point (-3,0)?.
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