Question
Download Solution PDFयदि PT उस वृत्त के बिंदु T पर स्पर्श रेखा है जिसका केंद्र O है और OP = 17 सेमी तथा OT = 8 सेमी है, तो स्पर्श रेखा खंड PT की लंबाई ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
PT एक वृत्त की स्पर्श रेखा है, जिसका केंद्र O है।
OP = 17 सेमी
OT = 8 सेमी
प्रयुक्त सूत्र:
पाइथागोरस प्रमेय: एक समकोण त्रिभुज में, कर्ण बराबर होता है -
OP2 = OT2 + TP2
गणना:
यह, स्पर्शरेखा TP की लंबाई बराबर है:
TP2 = OP2 - OT2
TP2 = (17)2 - (8)2
TP2 = 289 - 64
TP2 = 225
TP = √225 = 15
∴ स्पर्श रेखाखंड PT की लंबाई 15 सेमी के बराबर है।
Last updated on Jul 7, 2025
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