Multiple choice

In each question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. (I) 8p2 + 50p + 57 = 0 (II) 6q2 – q – 57 = 0

  1. If p > q If p > q

  2. If p ≥ q If p ≥ q

  3. If p < q If p < q

  4. If p ≤ q If p ≤ q

  5. If p = q or no relation can be established between p and q. यदि p = q या p और q के मध्य कोई सम्बन्ध स्थापित नहीं किया जा सकता है
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solving 8p² + 50p + 57 = 0 gives p = -1.5 or p = -4.75 (both negative). Solving 6q² - q - 57 = 0 gives q = 19/6 ≈ 3.17 or q = -3. When p = -1.5 and q = -3, we have p > q. When p = -4.75 and q = 3.17, we have p < q. Since the relationship changes depending on which roots we compare, no single relation always holds between p and q.

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