Multiple choice

In each of the following questions, two equations are given. You have to solve them and give answer- $I. (a(2 - a) = -8) II. (b(2 - b) = -15)$

  1. If a > b

  2. If a ≥ b

  3. If a < b

  4. If a ≤ b

  5. If a = b or relationship can not be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solve both quadratic equations: For I, a(2-a)=-8 gives a²-2a-8=0, so a=4 or a=-2. For II, b(2-b)=-15 gives b²-2b-15=0, so b=5 or b=-3. When a=4, it could be > b=-3 but < b=5. When a=-2, it's always less than both b values. Since the relationship changes depending on which roots you pick, no single inequality holds for all possible solutions.

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