Comprehension \( \quad \) Common tangents are drawn to \( C_{1}: x^{2}+y^{2}=16 \) and \( C_{2}:...
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Comprehension \( \quad \) Common tangents are drawn to \( C_{1}: x^{2}+y^{2}=16 \) and \( C_{2}: 4 x^{2}+25 y^{2}=100 \).
Area of quadrilateral formed by common tangents between \( C_{1} \) and \( C_{2} \) is:
(a) \( \frac{142 \sqrt{3}}{3} \)
(b) \( \frac{112}{3} \sqrt{3} \)
(c) \( \frac{92}{3} \sqrt{3} \)
(d) \( \frac{62}{3} \sqrt{3} \)
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