Multiple choice

Directions: In the following question, equations numbered I and II are given. You have to solve both the equations and mark the answer as per the instructions. I. x2 – 24x + 143 = 0 II. y2 – y – 182 = 0

  1. x ≤ y

  2. x = y or the relation cannot be established

  3. x ≥ y

  4. x < y

  5. x > y
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Factorizing the quadratic expressions, x2 - 24x + 143 = 0 yields (x - 11)(x - 13) = 0, so x equals 11 or 13. Similarly, y2 - y - 182 = 0 yields (y - 14)(y + 13) = 0, so y equals 14 or -13. When x is 13 it is greater than -13 but less than 14, meaning no single relationship can be established.

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