Multiple choice

(\text{In each of the following questions, one or two equations are given. You have to solve them and}\ (\text{(I)}\quad p^2 + 16 = 8p\ (\text{(II)}\quad 4q^2 + 64 = 32q)

  1. If p>q

  2. If p≥q

  3. If p<q

  4. If p≤q

  5. If p=q or relationship can not be established
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E Correct answer
Explanation

Equation (I) simplifies to p² - 8p + 16 = 0, which is (p-4)² = 0, giving p = 4. Equation (II) simplifies to 4q² - 32q + 64 = 0, or 4(q-4)² = 0, giving q = 4. Since both p and q are exactly 4, p = q is the correct relationship.

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