आकृतीमध्ये, O हे वर्तुळाचे केंद्र e आहे. त्याच्या दोन जीवा AB आणि CD वर्तुळातील P बिंदूवर एकमेकांना छेदतात. जर AB = 20 सेमी, PB = 12 सेमी आणि CP = 8 सेमी, तर PD चे माप काढा.

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)
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  1. 12 सेमी
  2. 11 सेमी
  3. 22 सें.मी
  4. 14 सें.मी

Answer (Detailed Solution Below)

Option 1 : 12 सेमी
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दिले:

AB = 20 सेमी, PB = 12 सेमी आणि CP = 8 सेमी

वापरलेली संकल्पना:

जर दोन जीवा वर्तुळात एकमेकांना छेदतात, तर जीवाच्या विभागांच्या मोजमापांची उत्पादने समान असतात.

AE × EC = DE × EB

गणना:

संकल्पनेनुसार,

AP × PB = CP × PD

⇒ (AB - PB) × 12 = 8 × PD

⇒ (20 - 12) × 12 = 8 × PD

⇒ 8×12 = 8 × PD

⇒ PD = 12

∴ PD चे माप 12 सेमी आहे.

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