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ABCDA is a con-cyclic quadrilateral of a circle ABCD with radius r and centre at O. If AB is the diameter and CD is parallel and half of AB and if the circle completes one rotation about the centre O, then the locus of the middle point of CD is a circle of radius:
  • a)
    3r/2
  • b)
    2r/3
  • c)
    2√3r/3
  • d)
    √3r/2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
ABCDA is a con-cyclic quadrilateral of a circle ABCD with radius r and...

 
In the figure, AB is the diameter and CD is parallel and half of AB;
∴ AB = 2r and CD = r;
Locus of the middle point of CD is a circle with radius EO;
In ΔEOC;
EO = √(r2 – (r/2)2)
⇒ EO = √3r/2
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ABCDA is a con-cyclic quadrilateral of a circle ABCD with radius r and centre at O. If AB is the diameter and CD is parallel and half of AB and if the circle completes one rotation about the centre O, then the locus of the middle point of CD is a circle of radius:a)3r/2b)2r/3c)2√3r/3d)√3r/2Correct answer is option 'D'. Can you explain this answer?
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ABCDA is a con-cyclic quadrilateral of a circle ABCD with radius r and centre at O. If AB is the diameter and CD is parallel and half of AB and if the circle completes one rotation about the centre O, then the locus of the middle point of CD is a circle of radius:a)3r/2b)2r/3c)2√3r/3d)√3r/2Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about ABCDA is a con-cyclic quadrilateral of a circle ABCD with radius r and centre at O. If AB is the diameter and CD is parallel and half of AB and if the circle completes one rotation about the centre O, then the locus of the middle point of CD is a circle of radius:a)3r/2b)2r/3c)2√3r/3d)√3r/2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABCDA is a con-cyclic quadrilateral of a circle ABCD with radius r and centre at O. If AB is the diameter and CD is parallel and half of AB and if the circle completes one rotation about the centre O, then the locus of the middle point of CD is a circle of radius:a)3r/2b)2r/3c)2√3r/3d)√3r/2Correct answer is option 'D'. Can you explain this answer?.
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