Multiple choice

In the following question two equations are given. You have to solve them and give answer - ( (I) ) ( p^2 = 36 ) ( (II) ) ( 2q^2 + 20q + 50 = 0 )

  1. If p < q

  2. If p > q

  3. If p ≤ q

  4. If p ≥ q

  5. If p = q or relation can't be established.
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E Correct answer
Explanation

Equation (I): p² = 36 gives p = ±6. Equation (II): 2q² + 20q + 50 = 0 can be simplified to q² + 10q + 25 = 0, which factors as (q+5)² = 0, giving q = -5 (repeated root). Comparing p and q: If p = 6, then p > q. If p = -6, then p < q. Since p can be greater or less than q depending on which root we take, the relation cannot be uniquely established.

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