खालील वर्तुळात, जीवा AB ही स्पर्शिका DC ला D वर भेटण्यासाठी वाढवली आहे. जर AB = 12 सेमी आणि DC = 8 सेमी, तर BD ची लांबी शोधा.

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RRB ALP Previous Paper 1 (Held On: 9 Aug 2018 Shift 1)
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  1. 4√6 सेमी 
  2. 6 सेमी 
  3. 4 सेमी 
  4. 5 सेमी 

Answer (Detailed Solution Below)

Option 3 : 4 सेमी 
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Detailed Solution

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जीवा स्पर्शिका प्रमेयानुसार,

⇒ CD2 = AD × BD

⇒ 8 × 8 = (12 + BD) × BD

⇒ 12BD + BD2 = 64

⇒ BD2 + 16BD – 4BD – 64 = 0

⇒ BD(BD + 16) – 4(BD + 16) = 0

∴ BD = 4 सेमी 

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