- 9 और 4 का ज्यामितीय माध्य क्या है?

  1.  - 6
  2.  6
  3.  6i
  4.  - 6i

Answer (Detailed Solution Below)

Option 3 :  6i
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संकल्पना:

ज्यामितीय माध्य 'n' संख्याओं को एकसाथ गुणा करके और गुणनफल का nवां मूल लेकर प्राप्त होता है। 

  • संख्या x1, x2, …….,x के ज्यामितीय माध्य को निम्न द्वारा ज्ञात किया गया है, ज्यामितीय माध्य = (x1x2…….x)1/n

 

गणना:

दी गयी संख्या: - 9 और 4

हम जानते हैं कि, ज्यामितीय माध्य 'n' संख्याओं को एकसाथ गुणा करके और गुणनफल का nवां मूल लेकर प्राप्त होता है। 

∴ -9 और 4 का ज्यामितीय माध्य = \(\sqrt{-9×4}\) 

\(\sqrt{-36}\) 

\(\rm \sqrt{36i^{2}}\) 

= 6i

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