যদি x 2 − 2xy = 84 এবং x −y = −10 হয়, তাহলে y এর মান হল:

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)
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Answer (Detailed Solution Below)

Option 3 : 4
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প্রদত্ত:

x 2 − 2xy = 84

x = y - 10

গণনা:

প্রশ্ন অনুযায়ী,

x 2 − 2xy = 84 ------------(1)

এবং x = y - 10

এখন, সমীকরণ (1) এ x = y - 10 বসিয়ে পাই 

(y - 10)² - 2y(y - 10) = 84

⇒y² - 20y + 100 - 2y² + 20y = 84

⇒- y² = 84 - 100

⇒ y² = 16

⇒ y = 4

সুতরাং, প্রয়োজনীয় মান হল 4

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