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A circle has the same centre as an ellipse & passes through the foci F1 & F2 of the ellipse, such that the two curves intersect in 4 points. Let `P' be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2 is 30, then the distance between the foci is less than
- a)12
- b)13
- c)14
- d)15
Correct answer is option 'B'. Can you explain this answer?
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A circle has the same centre as an ellipse & passes through the fo...
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A circle has the same centre as an ellipse & passes through the fo...
If a circle has the same center as an ellipse, it means that the center point of the circle is also the center point of the ellipse. This implies that the two shapes share a common point around which they are symmetrical.
However, it is important to note that even though they have the same center, the circle and the ellipse are still distinct shapes with different properties. The circle is a special case of an ellipse where the lengths of both semi-axes are equal, resulting in a perfectly symmetrical shape. The ellipse, on the other hand, has two semi-axes of different lengths, resulting in an elongated or stretched-out shape.
So, while the circle and the ellipse may share a common center, they have different overall shapes and characteristics.
However, it is important to note that even though they have the same center, the circle and the ellipse are still distinct shapes with different properties. The circle is a special case of an ellipse where the lengths of both semi-axes are equal, resulting in a perfectly symmetrical shape. The ellipse, on the other hand, has two semi-axes of different lengths, resulting in an elongated or stretched-out shape.
So, while the circle and the ellipse may share a common center, they have different overall shapes and characteristics.
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A circle has the same centre as an ellipse & passes through the foci F1& F2of the ellipse, such that the two curves intersect in 4 points. Let `P be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2is 30, then the distance between the foci is less thana)12b)13c)14d)15Correct answer is option 'B'. Can you explain this answer?
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A circle has the same centre as an ellipse & passes through the foci F1& F2of the ellipse, such that the two curves intersect in 4 points. Let `P be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2is 30, then the distance between the foci is less thana)12b)13c)14d)15Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A circle has the same centre as an ellipse & passes through the foci F1& F2of the ellipse, such that the two curves intersect in 4 points. Let `P be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2is 30, then the distance between the foci is less thana)12b)13c)14d)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle has the same centre as an ellipse & passes through the foci F1& F2of the ellipse, such that the two curves intersect in 4 points. Let `P be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2is 30, then the distance between the foci is less thana)12b)13c)14d)15Correct answer is option 'B'. Can you explain this answer?.
A circle has the same centre as an ellipse & passes through the foci F1& F2of the ellipse, such that the two curves intersect in 4 points. Let `P be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2is 30, then the distance between the foci is less thana)12b)13c)14d)15Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A circle has the same centre as an ellipse & passes through the foci F1& F2of the ellipse, such that the two curves intersect in 4 points. Let `P be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2is 30, then the distance between the foci is less thana)12b)13c)14d)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle has the same centre as an ellipse & passes through the foci F1& F2of the ellipse, such that the two curves intersect in 4 points. Let `P be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2is 30, then the distance between the foci is less thana)12b)13c)14d)15Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice A circle has the same centre as an ellipse & passes through the foci F1& F2of the ellipse, such that the two curves intersect in 4 points. Let `P be any one of their point of intersection. If the major axis of the ellipse is 17 & the area of the triangle PF1F2is 30, then the distance between the foci is less thana)12b)13c)14d)15Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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