(x - 1) 2 + (y - 2) 2 = (x – 1) (y - 2), ఇక్కడ x మరియు y పూర్ణాంకాలు అయితే, 2x + 3y విలువ:

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RRB ALP Electronics Mechanic 21 Jan 2019 Official Paper (Shift 1)
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  1. 5
  2. 8
  3. 11
  4. 7

Answer (Detailed Solution Below)

Option 2 : 8
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Detailed Solution

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ఇవ్వబడినది,

(x - 1) 2 + (y - 2) 2 = (x – 1) (y - 2)

కాన్సెప్ట్/సూత్రం:

(x – y) 2 = k 2

(x – y) = k లేదా (–k)

x = (k + y) లేదా (y – k)

గణన:

(x -1) 2 + (y - 2) 2 = (x – 1) (y - 2)

⇒ (x – 1) 2 = (x – 1) (y – 2)

⇒ (x – 1) = (y – 2)

⇒ x – y = -2 + 1

⇒ x – y = (-1) ----(1)

⇒ (y – 2) 2 = (x – 1) (y – 2)

⇒ (y – 2) = (x – 1)

⇒ x – y = -2 + 1

⇒ x – y = (-1) ----(2)

y = 2 మరియు x = 1,

⇒ 1 – 2 = (-1)

(-1) = (-1) (సంతృప్తం)

ఇప్పుడు,

2x + 3y

⇒ 2 × 1 + 3 × 2

⇒ 2 + 6

⇒ 8

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