Multiple choice

In each of the following questions, two equations are given. You have to solve them and give answer. I. (2p^2 + 20p + 50 = 0) II. (q^2 = 25)

  1. If p < q

  2. If p > q

  3. If p ≤ q

  4. If p ≥ q

  5. If p = q or relation between p and q cannot be established.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Equation I: 2p² + 20p + 50 = 0 → dividing by 2: p² + 10p + 25 = 0 → (p+5)² = 0, so p = -5 only. Equation II: q² = 25, so q = 5 or q = -5. Comparing: when q = 5, p = -5 < 5 (p < q). When q = -5, p = -5 = q (p = q). Since p is always less than or equal to q, p ≤ q is correct. Option C is correct.

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