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Triangle ABC has circumcentre ‘O’ and orthocentre ‘H’. Points E and F are chosen on sides AC and ABrespectively such that AE = AO and AF = AH. If ‘R’ be radius of circle circumscribing the triangle ABC.Then,
Q. The length of segment EF is equal to,
  • a)
    RcosA
  • b)
    R
  • c)
    Rsin2A
  • d)
    2RcosA
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Triangle ABC has circumcentre ‘O’ and orthocentre ‘H...
AE = R,AF = 2RcosA
⇒ EF = R
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Most Upvoted Answer
Triangle ABC has circumcentre ‘O’ and orthocentre ‘H...
The circumcentre of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. It is the centre of the circle that passes through all three vertices of the triangle.

In order to determine the location of the circumcentre of triangle ABC, we need more information about the triangle. Specifically, we need the coordinates of the vertices of the triangle.

Once we have the coordinates of the vertices, we can find the equations of the perpendicular bisectors of the sides of the triangle. By solving these equations, we can find the point of intersection, which will be the circumcentre of the triangle.

Please provide the coordinates of the vertices of triangle ABC so that we can determine its circumcentre.
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Triangle ABC has circumcentre ‘O’ and orthocentre ‘H’. Points E and F are chosen on sides AC and ABrespectively such that AE = AO and AF = AH. If ‘R’ be radius of circle circumscribing the triangle ABC.Then,Q. The length of segment EF is equal to,a)RcosAb)Rc)Rsin2Ad)2RcosACorrect answer is option 'B'. Can you explain this answer?
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Triangle ABC has circumcentre ‘O’ and orthocentre ‘H’. Points E and F are chosen on sides AC and ABrespectively such that AE = AO and AF = AH. If ‘R’ be radius of circle circumscribing the triangle ABC.Then,Q. The length of segment EF is equal to,a)RcosAb)Rc)Rsin2Ad)2RcosACorrect 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 Triangle ABC has circumcentre ‘O’ and orthocentre ‘H’. Points E and F are chosen on sides AC and ABrespectively such that AE = AO and AF = AH. If ‘R’ be radius of circle circumscribing the triangle ABC.Then,Q. The length of segment EF is equal to,a)RcosAb)Rc)Rsin2Ad)2RcosACorrect 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 Triangle ABC has circumcentre ‘O’ and orthocentre ‘H’. Points E and F are chosen on sides AC and ABrespectively such that AE = AO and AF = AH. If ‘R’ be radius of circle circumscribing the triangle ABC.Then,Q. The length of segment EF is equal to,a)RcosAb)Rc)Rsin2Ad)2RcosACorrect answer is option 'B'. Can you explain this answer?.
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