चतुर्भुज ABCD के विकर्ण रेखाओं x - 2y = 1 और 4x + 2y = 3 पर स्थित हैं। चतुर्भुज ABCD हो सकता है एक

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. आयत
  2. चक्रीय चतुर्भुज
  3. समांतर चतुर्भुज
  4. समचतुर्भुज

Answer (Detailed Solution Below)

Option 4 : समचतुर्भुज
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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व्याख्या:

रेखा x - 2y = 1 के अनुदिश विकर्ण का ढाल

⇒m1 = 1/2

रेखा 4x + 2y = 3 के अनुदिश विकर्ण का ढाल

m2 = -2

अब, m1m2 =

इसलिए, विकर्ण परस्पर लंब हैं।

∴ चतुर्भुज ABCD एक समचतुर्भुज है।

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