Question: What is the area of the circle C?<br>Statement I: An arc of length 7 cm subtends an angle 30^{\circ} at the centre of C.<br>Statement II: A chord of length 10 cm subtends an angle 90^{\circ} at the centre of C.
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
Statement I gives r \times (\pi/6) = 7, easily giving r and the area. Statement II gives a right-angled triangle formed by the chord and two radii, so r^2+r^2=10^2 \implies 2r^2=100, leading directly to area. Either statement alone is sufficient.
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