71. A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : A circle is inscribed in the equilateral triangle \Delta. What is the radius of the circle ? Statement-I : Area of \Delta is equal to 16\sqrt{3} \text{ cm}^2. Statement-II : Perimeter of \Delta is 24 cm.

  1. A. The Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
  2. B. The Question can be answered by using either Statement alone ✓
  3. C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
  4. D. The Question cannot be answered even by using both the Statements together

Correct Answer: B. The Question can be answered by using either Statement alone

Explanation

Statement I provides the area, allowing calculation of the side length and thus the inradius. Statement II provides the perimeter, also yielding the side length and inradius. Thus, either statement alone is sufficient.

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