चार सीधी रेखाओं और एक वृत्त के प्रतिच्छेदन बिंदुओं की अधिकतम संभावित संख्या क्या है (प्रतिच्छेदन रेखाओं के साथ-साथ वृत्त और रेखाओं के बीच भी है)?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 6
  2. 10
  3. 14
  4. 16

Answer (Detailed Solution Below)

Option 3 : 14
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व्याख्या:

चूँकि 4 रेखाएँ हैं, इसलिए प्रतिच्छेदन बिंदुओं की अधिकतम संख्या 4C2 = 6 है।

4 रेखाओं के साथ वृत्त के प्रतिच्छेदन की अधिकतम संख्या 4 x 2 = 8 है।

आवश्यक प्रतिच्छेदन बिंदु = 6 + 8 = 14

∴ सही उत्तर विकल्प 3 अर्थात् 14 है

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