जर x2 − 2xy = 84 आणि x − y = −10 असेल, तर y चे मूल्य आहे:

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)
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  1. 2
  2. 1
  3. 4
  4. 3

Answer (Detailed Solution Below)

Option 3 : 4
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दिलेल्याप्रमाणे:

x2 − 2xy = 84

x = y - 10

गणना:

प्रश्नानुसार,

x2 − 2xy = 84 ------------(1)

आणि x = y - 10

आता समीकरण(1) मध्ये x = y - 10 टाका

(y - 10)² - 2y(y - 10) = 84

⇒y² - 20y + 100 - 2y² + 20y = 84

⇒- y² = 84 - 100

⇒ y² = 16

⇒ y = 4

म्हणून, आवश्यक मूल्य 4 आहे.

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