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. ()(\textbf{(I)}) (8p^2 + 50p + 57 = 0)(\textbf{(II)}) (6q^2 – q – 57 = 0)

  1. If p > q

  2. If p ≥ q

  3. If p < q

  4. If p ≤ q

  5. If p = q or no relation can be established between p and q.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solving equation (I) gives p = -19/4 ≈ -4.75 or p = -3/2 = -1.5. Solving equation (II) gives q = 3 or q = -19/6 ≈ -3.17. Comparing values: when p = -4.75, p < q (both for q = 3 and q = -3.17). When p = -1.5, p > q = -3.17 but p < q = 3. Since p can be greater or less than q depending on which roots we compare, no consistent relationship exists.

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