यदि xy3, x2y और x3y4 का महत्तम समापवर्तक xy है, तो उनका लघुतम समापवर्त्य ______ है।

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 4)
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  1. x3y4
  2. x3y3
  3. x 4 y 3
  4. x4y4 

Answer (Detailed Solution Below)

Option 1 : x3y4
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दिया गया है:
 
xy3, x2y and x3y4 का महत्तम समापवर्तक, xy है
 
प्रयुक्त अवधारणा:
 
दिए गए चर का लघुतम समापवर्त्य प्रत्येक चर की अधिकतम घात वाले गुणनफल चर के बराबर है।
 
गणना:
xy3, x2y and x3y4 में
x की अधिकतम घात = 3
 
y की अधिकतम घात = 4
 
इसलिए,
 
लघुतम समापवर्त्य = x3y4
 
इसलिए, सही उत्तर 'x3y4' है।
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