ΔABC യുടെ വിസ്തീർണ്ണം ഒരു യൂണിറ്റാണ്. DE എന്നത് BC യ്ക്ക് സമാന്തരമായ ഒരു നേർരേഖയാണ്, AB, AC എന്നിവയിൽ യഥാക്രമം D, E എന്നീ പോയിന്റുകൾ ചേരുന്ന നേർരേഖയാണ്, അതായത് AD : DB = 1 : 6. ΔADE, ΔABC എന്നിവയുടെ വിസ്തീർണ്ണങ്ങളുടെ അനുപാതം ഇതാണ്:

This question was previously asked in
SSC CGL Previous Paper 48 (Held On: 6 June 2019 Shift 3)
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  1. 1 : 36
  2. 1 : 7
  3. 1 : 6
  4. 1 : 49

Answer (Detailed Solution Below)

Option 4 : 1 : 49
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F1 09.10.2019 Nita V.G. D 3

നൽകിയിരിക്കുന്നത്, AD = 1, BD = 6, AB = AD + BD = 1 + 6 = 7

നമുക്കറിയാവുന്നത് പോലെ,

⇒ (ΔADE യുടെ വിസ്തീർണ്ണം) : (ΔABC യുടെ വിസ്തീർണ്ണം) = (AD)2 : (AB)2 = 12 : 72 = 1 : 49

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