Multiple choice

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and choose the correct option. ( (a) x^2 – x - 110 =0 ) ( (b) y^2 + 24 y +140 =0 )

  1. $x > y$
  2. $x ≤ y$
  3. $x ≥ y$
  4. $x < y$

  5. x = y or relationship between x and y can't be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For x² - x - 110 = 0, factors are (x-11)(x+10) = 0, giving x = 11 or x = -10. For y² + 24y + 140 = 0, factors are (y+14)(y+10) = 0, giving y = -10 or y = -14. Since x can be 11 or -10, and y can be -14 or -10, the relationship x ≥ y holds for all combinations.

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