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      Question

      I. xΒ²  – 44x + 468 = 0 II. yΒ²  – 30y +

      216 = 0
      A x > y Correct Answer Incorrect Answer
      B x < y Correct Answer Incorrect Answer
      C x = y or the relationship cannot be established Correct Answer Incorrect Answer
      D x β‰₯ y Correct Answer Incorrect Answer
      E x ≀ y Correct Answer Incorrect Answer

      Solution

      From I: x2 – 44x + 468 = 0 Or, x2 – 18x – 26x + 468 = 0 Or, x Γ— (x – 18) – 26 Γ— (x – 18) = 0 Or, (x – 18) Γ— (x – 26) = 0 So, x = 18 or, x = 26 From II: y2 – 30y + 216 = 0 Or, y2 – 12y – 18y + 216 = 0 Or, y Γ— (y – 12) – 18 Γ— (y – 12) = 0 Or, (y – 12) Γ— (y – 18) = 0 So, y = 12 or y = 18 So, x β‰₯ y. Correct option: d

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