கொடுக்கப்பட்டுள்ள படத்தில், MN = RM = RP, ∠MPR இன் மதிப்பு (டிகிரியில்) என்ன?

07.02.2018.019

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SSC CGL Previous Paper 10 (Held On: 10 August 2017 Shift 1)
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  1. 47
  2. 68
  3. 72
  4. கண்டறிய இயலாது 

Answer (Detailed Solution Below)

Option 2 : 68
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Detailed Solution

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இங்கே, ΔPRM மற்றும் ΔMRN ஆகியவை இருசமபக்க முக்கோணங்கள்

மேலும் ΔRPN இல்,

⇒ ∠RPM + ∠RNP = 102°         ….(i)     [வெளிப்பக்க கோண பண்பு]

⇒ ∠MRN = ∠MNR

⇒ ∠MRN + ∠MNR = ∠RMP     …(ii)       [வெளிப்பக்க கோண பண்பு]

⇒ 2∠RNP = ∠RMP = ∠RPM

(i) மற்றும் (ii) ஆகியவற்றில் இருந்து நாம் பெறுவது,

⇒ 3/2(∠RPM) = 102°

⇒ ∠RPM = 68°

∴ சரியான விருப்பம் 2) ஆகும்.

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