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Geometry

Let ABCD be a rectangle with sides 15 and 20 as shown. Let m be a circle centered at A  of the circle passing through F, C, and E.


Find the length of the chord EF.
A. 50
B. 27
C. 2√(37×13)
D. 4√37
E. 11√47

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7 comments

  1. APSC Aspirant

    Sir, there was an error in the question due to which the given options were appearing wrong.

    If you see, in the solution, you have used AD=20, as that is the only way you can get AF=AC=25. And then you have calculated AP=12. However, in the question / diagram, you have said that AD (a side of the rectangle) =12. This would lead to a different answer.

    1. Raman Sharma

      It was a typographical error that has been corrected. Thank you for pointing it out. 🙂

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