दिलेल्या आकृतीमध्ये, जीवा AB आणि CD एकमेकांना X बिंदूवर छेदतात. तर, k चे मूल्य किती आहे?

  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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दिलेले आहे:

AX = 24

XB = k

CX = (k + 2)

XD = 16

वापरलेले सूत्र:

दोन जीवा AB आणि CD बिंदू X वर छेदत असल्यास.

तर, AX × XB = CX × XD

गणना:

AX × XB = CX × XD

⇒ 24 × k = (k + 2) × 16

⇒ 3k = 2(k + 2)

⇒ 3k - 2k = 4

⇒ k = 4

म्हणून, k चे मूल्य 4 आहे.

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