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An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle is
- a)√3
- b)2
- c)2√2
- d)√5
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
An ellipse is drawn with major and minor axes of lengths 10 and 8 resp...
To find the radius of the circle, we need to find the distance from the center of the ellipse to the point of tangency with the circle.
The center of the ellipse is the midpoint of the major axis, so its coordinates are (0,0).
The distance from the center of the ellipse to one of the foci is given by the formula c^2 = a^2 - b^2, where c is the distance from the center to the focus, and a and b are the lengths of the major and minor axes respectively.
In this case, c^2 = 10^2 - 8^2 = 36, so c = √36 = 6.
Since the circle is tangent to the ellipse, the distance from the center of the ellipse to the point of tangency is equal to the radius of the circle.
Therefore, the radius of the circle is 6. Answer: \boxed{6}.
The center of the ellipse is the midpoint of the major axis, so its coordinates are (0,0).
The distance from the center of the ellipse to one of the foci is given by the formula c^2 = a^2 - b^2, where c is the distance from the center to the focus, and a and b are the lengths of the major and minor axes respectively.
In this case, c^2 = 10^2 - 8^2 = 36, so c = √36 = 6.
Since the circle is tangent to the ellipse, the distance from the center of the ellipse to the point of tangency is equal to the radius of the circle.
Therefore, the radius of the circle is 6. Answer: \boxed{6}.
Community Answer
An ellipse is drawn with major and minor axes of lengths 10 and 8 resp...
According to my logic I got 5root2
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An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle isa)√3b)2c)2√2d)√5Correct answer is option 'B'. Can you explain this answer?
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An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle isa)√3b)2c)2√2d)√5Correct 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 An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle isa)√3b)2c)2√2d)√5Correct 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 An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle isa)√3b)2c)2√2d)√5Correct answer is option 'B'. Can you explain this answer?.
An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle isa)√3b)2c)2√2d)√5Correct 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 An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle isa)√3b)2c)2√2d)√5Correct 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 An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle isa)√3b)2c)2√2d)√5Correct answer is option 'B'. Can you explain this answer?.
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