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      Question

      In the questions, 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. y² - 19y + 84 = 0 II. x² + 7x = 18
      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: y² - 19y + 84 = 0 Or, y² - 12y - 7y + 84 = 0 Or, y(y - 12) - 7(y - 12) = 0 Or, (y - 12)(y - 7) = 0 So, y = 12 or y = 7 From II: x² + 7x = 18 Or, x² + 7x - 18 = 0 Or, x² + 9x - 2x - 18 = 0 Or, x(x + 9) - 2(x + 9) = 0 Or, (x + 9)(x - 2) = 0 So, x = 2 or x = -9 Therefore, x < y

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