(x2 - y2) आणि (x - y) चा तिसरा आनुपातिक ___________ आहे.

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. (x - y)
  2. \(\rm \frac{x-y}{x+y}\)
  3. \(\rm \frac{x+y}{x-y}\)
  4. (x + y)

Answer (Detailed Solution Below)

Option 2 : \(\rm \frac{x-y}{x+y}\)
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Detailed Solution

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दिलेले आहे:

पहिली संख्या (a) = (x2 - y2)

दुसरी संख्या (b) = (x - y)

वापरलेले सूत्र:

आनुपातिक = {दुसरी संख्या (b)}2/पहिली संख्या (a)

(x2 - y2) = (x - y) × (x + y)

गणना:

तिसरा आनुपातिक = (x - y)2/(x2 - y2)

⇒ {(x - y) × (x - y)}/{(x - y) × (x + y)} 

⇒ \(\rm \frac{x-y}{x+y}\)

∴ योग्य उत्तर \(\rm \frac{x-y}{x+y}\) आहे.

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