Multiple choice

Two equations I & II are given in each question. On the basis of these equations, you have to decide the relation between x & y and give the answer. $I. (x^2 + 11x + 30 = 0) II. (y^2 + 7y + 12 = 0)$

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or no relation can be established between 'x' and 'y'
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solving x² + 11x + 30 = 0 gives (x+5)(x+6) = 0, so x = -5 or -6. Solving y² + 7y + 12 = 0 gives (y+3)(y+4) = 0, so y = -3 or -4. For all combinations: x = -5 < y(-3 or -4) and x = -6 < y(-3 or -4). Therefore x < y always. Option C is correct.

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