समलम्ब ABCD में, AD∥BC है, O, विकर्ण BD और AC का प्रतिच्छेदन बिंदु है। बिंदु F और E क्रमशः AB और CD पर इस प्रकार हैं कि FE बिंदु O से होकर जाती है। यदि BC = 5 सेमी और AD = 20 सेमी है, तो, EF की लंबाई है -

  1. 8 सेमी
  2. 12 सेमी
  3. 10 सेमी
  4. 15 सेमी

Answer (Detailed Solution Below)

Option 1 : 8 सेमी
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Detailed Solution

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दिया गया है:

AD/BC

BC = 5 सेमी तथा AD = 20 सेमी

प्रयुक्त अवधारणा:

यदि AD = a तथा BC = b

⇒ EF = (2a.b)/(a + b)

गणना:

F8 Aashish S 19-2-2021 Swati D10

अतः, EF = (2 × AD × BC)/(AD + BC)

⇒ (2 × 20 × 5) /(20 + 5)

⇒ 200/25

⇒ 8 सेमी

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