Question
Download Solution PDFनीचे दर्शाये गए चित्र पर विचार कीजिये। यदि कोण ABO = 30° और वृत्त की परिधि 44 सेमी है तो स्पर्श रेखा AB की लम्बाई ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFवृत्त की परिधि = 2πr
⇒ 44 = 2 × (22/7) × (r)
⇒ r = AO = 7 सेमी
एक वृत्त की स्पर्श रेखा स्पर्शिता के बिंदु से खींची गयी त्रिज्या के लंबवत होती है
इसलिए ∆AOB एक समकोण त्रिभुज है
⇒ tan 30° = OA/AB
⇒ 1/√3 = 7/AB
⇒ AB = 7√3
∴ अतः AB = 7√3
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