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Circles x2+y2-2x-y=0 and x2+y2-8y-4=0
- a)touch externally
- b)touch internally
- c)do not touch
- d)intersect
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Circles x2+y2-2x-y=0 and x2+y2-8y-4=0a)touch externallyb)touch interna...
Explanation:
Equations of the Circles:
The equations of the circles are given as:
1. Circle 1: x^2 + y^2 - 2x - y = 0
2. Circle 2: x^2 + y^2 - 8y - 4 = 0
Graphical Interpretation:
To determine the relationship between these circles, we need to analyze their graphical representation.
Intersection:
- If the circles intersect, it means they have common points.
- In this case, the circles intersect at two distinct points.
Finding Intersection Points:
- By solving the equations simultaneously, we can find the intersection points.
- Equating the equations of the circles, we get:
2x - y = 4
x^2 + y^2 - 2x - y = 0
- By substituting the value of y from the linear equation into the circle equation, we can find the x-coordinates of the intersection points.
Conclusion:
The circles intersect at two distinct points, hence the correct answer is option 'D' - Intersect.
Equations of the Circles:
The equations of the circles are given as:
1. Circle 1: x^2 + y^2 - 2x - y = 0
2. Circle 2: x^2 + y^2 - 8y - 4 = 0
Graphical Interpretation:
To determine the relationship between these circles, we need to analyze their graphical representation.
Intersection:
- If the circles intersect, it means they have common points.
- In this case, the circles intersect at two distinct points.
Finding Intersection Points:
- By solving the equations simultaneously, we can find the intersection points.
- Equating the equations of the circles, we get:
2x - y = 4
x^2 + y^2 - 2x - y = 0
- By substituting the value of y from the linear equation into the circle equation, we can find the x-coordinates of the intersection points.
Conclusion:
The circles intersect at two distinct points, hence the correct answer is option 'D' - Intersect.
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Circles x2+y2-2x-y=0 and x2+y2-8y-4=0a)touch externallyb)touch internallyc)do not touchd)intersectCorrect answer is option 'D'. Can you explain this answer?
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Circles x2+y2-2x-y=0 and x2+y2-8y-4=0a)touch externallyb)touch internallyc)do not touchd)intersectCorrect answer is option 'D'. 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 Circles x2+y2-2x-y=0 and x2+y2-8y-4=0a)touch externallyb)touch internallyc)do not touchd)intersectCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Circles x2+y2-2x-y=0 and x2+y2-8y-4=0a)touch externallyb)touch internallyc)do not touchd)intersectCorrect answer is option 'D'. Can you explain this answer?.
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