Question
Download Solution PDFकेंद्र 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:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF∠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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