केंद्र O वाले एक वृत्त की स्पर्शरेखा PRT उस पर बिंदु R स्पर्श करती है। वृत्त का व्यास SQ, इससे निकली रेखा P पर स्पर्शरेखा से मिलती है और QR जुड़ जाते हैं। यदि ∠QRP = 28° है, तो SPR का माप है:

This question was previously asked in
SSC CGL Previous Paper 69 (Held On: 4 March 2020 Shift 2)
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  1. 62°
  2. 32°
  3. 29°
  4. 34°

Answer (Detailed Solution Below)

Option 4 : 34°
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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∠QRP = 28°

जैसा कि हम जानते हैं,

∠ORP = 90° [स्पर्शरेखा के बिंदु R पर]

⇒ ∠ORQ = ∠ORP – ∠QRP = 90° – 28° = 62°

⇒ ∠OQR = ∠ORQ = 62° [OQ = OR = त्रिज्या]

जैसा कि हम जानते हैं,

∠OQR = ∠ QRP + ∠QPR

⇒ 62 = 28 + ∠QPR

⇒ ∠QPR = 62 – 28 = 34

⇒ ∠SPR = ∠QPR = 34

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