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slope of x axis is 0 and slope of y axis is infinity we usually say they are perpendicular to each other then why their product of slope is not -1 answer this ?????
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slope of x axis is 0 and slope of y axis is infinity we usually say t...
Understanding Slopes of Axes
In coordinate geometry, the slopes of the x-axis and y-axis play a crucial role in defining their relationship.
Slope of the X-Axis
- The slope of the x-axis is defined as 0.
- This means it is a horizontal line, with no rise over run.
Slope of the Y-Axis
- The slope of the y-axis is considered to be infinite.
- This indicates a vertical line, where the run is 0, leading to an undefined slope.
Perpendicularity of Axes
- The x-axis and y-axis are perpendicular to each other.
- Perpendicular lines in a plane typically have slopes that multiply to -1.
Why Product of Slopes is Not -1
- The concept of perpendicular slopes applies to finite slopes.
- Since one slope is 0 (x-axis) and the other is infinite (y-axis), their multiplication does not yield a defined number.
- Mathematically, multiplying 0 by infinity is indeterminate, not equal to -1.
Conclusion
- Hence, while the x-axis and y-axis are perpendicular based on their geometric orientation, the multiplication of their slopes does not conform to the standard rule of -1 due to the nature of zero and infinity.
Understanding these distinctions helps clarify the behavior of lines in a Cartesian plane.
In coordinate geometry, the slopes of the x-axis and y-axis play a crucial role in defining their relationship.
Slope of the X-Axis
- The slope of the x-axis is defined as 0.
- This means it is a horizontal line, with no rise over run.
Slope of the Y-Axis
- The slope of the y-axis is considered to be infinite.
- This indicates a vertical line, where the run is 0, leading to an undefined slope.
Perpendicularity of Axes
- The x-axis and y-axis are perpendicular to each other.
- Perpendicular lines in a plane typically have slopes that multiply to -1.
Why Product of Slopes is Not -1
- The concept of perpendicular slopes applies to finite slopes.
- Since one slope is 0 (x-axis) and the other is infinite (y-axis), their multiplication does not yield a defined number.
- Mathematically, multiplying 0 by infinity is indeterminate, not equal to -1.
Conclusion
- Hence, while the x-axis and y-axis are perpendicular based on their geometric orientation, the multiplication of their slopes does not conform to the standard rule of -1 due to the nature of zero and infinity.
Understanding these distinctions helps clarify the behavior of lines in a Cartesian plane.
Community Answer
slope of x axis is 0 and slope of y axis is infinity we usually say t...
Slope of Y-axis in not infinity but 'not defined'. So it can be -1÷0 so that the product is -1
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slope of x axis is 0 and slope of y axis is infinity we usually say they are perpendicular to each other then why their product of slope is not -1 answer this ?????
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slope of x axis is 0 and slope of y axis is infinity we usually say they are perpendicular to each other then why their product of slope is not -1 answer this ????? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about slope of x axis is 0 and slope of y axis is infinity we usually say they are perpendicular to each other then why their product of slope is not -1 answer this ????? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for slope of x axis is 0 and slope of y axis is infinity we usually say they are perpendicular to each other then why their product of slope is not -1 answer this ?????.
slope of x axis is 0 and slope of y axis is infinity we usually say they are perpendicular to each other then why their product of slope is not -1 answer this ????? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about slope of x axis is 0 and slope of y axis is infinity we usually say they are perpendicular to each other then why their product of slope is not -1 answer this ????? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for slope of x axis is 0 and slope of y axis is infinity we usually say they are perpendicular to each other then why their product of slope is not -1 answer this ?????.
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