एक वृत्त चतुर्भुज PQRS की सभी भुजाओं को स्पर्श करता है। यदि PQ = 11 सेमी, QR = 12 सेमी और PS = 8 सेमी है। तो RS की लंबाई क्या है?

This question was previously asked in
SSC CHSL 2020 Official Paper 6 (Held On: 13 April 2021 Shift 3)
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  1. 7 सेमी
  2. 15 सेमी
  3. 9 सेमी
  4. 7.3 सेमी

Answer (Detailed Solution Below)

Option 3 : 9 सेमी
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SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

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दिया गया है:

एक वृत्त चतुर्भुज PQRS की सभी भुजाओं को स्पर्श करता है। यदि PQ = 11 सेमी, QR = 12 सेमी और PS = 8 सेमी है।

गणना:

यदि एक वृत्त चतुर्भुज PQRS की चारों भुजाओं को स्पर्श करता है, तो, 

PQ + RS = SP + RQ

इसलिए,

⇒ 11 + RS = 8 + 12

⇒ RS = 20 - 11

⇒ RS = 9

∴ विकल्प 3 सही उत्तर है।

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