Multiple choice

In each of the following questions, two equations are given. You have to solve them and Give answer- ( (I) ) ( a^2 + 3a + 2 = 0 ) ( (II) ) ( b^2 + 5b + 6 = 0 )

  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
B Correct answer
Explanation

Equation I: a² + 3a + 2 = 0 factors to (a+1)(a+2) = 0, giving a = -1, -2. Equation II: b² + 5b + 6 = 0 factors to (b+2)(b+3) = 0, giving b = -2, -3. Since a can be -1 (which is > -3) and a can be -2 (which equals b's -2), the relationship is a ≥ b. Option A is wrong (a > b is not always true; when a=-2 and b=-2, they're equal). Option C and D are wrong because a is not always less than b.

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