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      Question

      In the question, two equations I and II are given. You

      have to solve both the equations to establish the correct relation between x and y and choose the correct option. I. 8x2 – 50x + 33 = 0 II. 12y2 + 48y = 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 ≥ y Correct Answer Incorrect Answer
      E x ≤ y Correct Answer Incorrect Answer

      Solution

      From I: 8x2 – 50x + 33 = 0 => 8x2 – 6x – 44x + 33 = 0 => 2x(4x – 3) – 11(4x – 3) = 0 => (2x – 11)(4x – 3) = 0 => x = 3/4, 11/2 => x = 0.75, 5.5 From II: 12y2 + 48y = 0 => 12y(y + 4) = 0 => y = 0, -4 so, x > y

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