A chord PQ of the circle C divides it into two segments such that 3 times the area of the major segment is 4 times the area of the minor segment.<br>Question: What is the radius of C?<br>Statement I: Area of the minor segment is 66 square cm.<br>Statement II: Area of the major segment is 88 square cm.
For the next ten (10) items that follow:<br>Each item contains a Question followed by two Statements. Answer each item using the following instructions:
- A. Choose this option if the Question can be answered by one of the Statements alone but not by the other.
- B. Choose this option if the Question can be answered by either Statement alone. ✓
- C. Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- D. Choose this option if the Question cannot be answered even by using both Statements together.
Correct Answer: B. Choose this option if the Question can be answered by either Statement alone.
Explanation
The given relation 3 \times \text{Major} = 4 \times \text{Minor} sets a fixed ratio. Knowing either the Minor segment (Statement I) or the Major segment (Statement II) allows calculation of the total area of the circle, which leads directly to the radius. Either statement alone is sufficient.
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