यदि Δ निम्नलिखित सारणिक का मूल्य है

तो निम्नलिखित सारणिक का मूल्य क्या है?

(p ≠ 0 या 1, q ≠ 0 या 1)

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NDA (Held On: 18 Apr 2021) Maths Previous Year paper
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  1. (p + q)Δ
  2. pqΔ

Answer (Detailed Solution Below)

Option 4 : pqΔ
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अवधारणा:

अदिश गुणक गुण का उपयोग करके:

यदि सारणिक की एक पंक्ति (या स्तंभ) के सभी तत्वों को एक गैर-शून्य स्थिरांक से गुणा किया जाता है तो सारणिक समान स्थिरांक से गुना हो जाता है।

गणना:

Δ =

सभी तत्वों के स्तंभ 1 को p से गुणा किया जाता है, फिर दिए गए आव्यूहों को भी p से गुणा किया जाता है

pΔ =

फिर से सभी तत्वों के स्तंभ 3 को q से गुणा किया जाता है, फिर दिए गए आव्यूहों को भी q से गुणा किया जाता है

pqΔ =

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