Question: Can a circle be drawn through the points A, B and C?<br>Statement I: AB=5 cm, BC=5 cm, CA=6 cm.<br>Statement II: AB=3 cm, BC=4 cm, CA=7 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
A circle can be drawn through 3 non-collinear points. Statement I gives 5+5 \gt 6, making a valid triangle, so a circle CAN be drawn. Statement II gives 3+4=7, meaning the points are collinear, so a circle CANNOT be drawn. Either statement alone is sufficient to answer the yes/no question.
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