दी गई आकृति में, जीवाएं AB और CD एक दूसरे को बिंदु X पर प्रतिछेदित करतीं हैं। तो, k का मान है-

F2 Vinanti SSC 13.04.23 D1 V2

  1. 2
  2. 4
  3. 3
  4. 5

Answer (Detailed Solution Below)

Option 2 : 4
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Detailed Solution

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दिया गया है:

AX = 24

XB = k

CX = (k + 2)

XD = 16

प्रयुक्त सूत्र:

F2 Vinanti SSC 13.04.23 D1 V2

यदि दो जीवाएं AB और CD एक दूसरे को बिंदु X पर प्रतिछेदित करतीं हैं।

तो, AX × XB = CX × XD

गणना:

AX × XB = CX × XD

⇒ 24 × k = (k + 2) × 16

⇒ 3k = 2(k + 2)

⇒ 3k - 2k = 4

⇒ k = 4

अतः, k का मान 4 हैI

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