Multiple choice

(\text{In each of the following questions, two equations are given. You have to solve them and give answer.}\\text{(I). } p^{2} + 16p + 63 = 0\\text{(II). } q^{2} + q = 42)

  1. if p = q or relationship can’t be established

  2. if p < q

  3. if p > q

  4. if p ≥ q

  5. if p ≤ q
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

(I) p² + 16p + 63 = 0 → (p+7)(p+9) = 0 → p = -7, -9. (II) q² + q - 42 = 0 → (q+7)(q-6) = 0 → q = -7, 6. Comparing: p = -7 when q = -7; otherwise p < q (when q = 6). Therefore p ≤ q is correct.

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