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Among all cyclic quadrilaterals inscribed in a circle of radius R with one of its angles equal to 120º.
Consider the one with maximum possible area. Its area is

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KVPY Other Question

Suppose a, b are real numbers such that ab ≠ 0. Which of the following four figures represents the curve
(y – ax – b)(bx^2 + ay^2 – ab) = 0
Let V1 be the volume of a given right circular cone with O as the centre of the base and A as its apex. Let V2
be the maximum volume of the right circular cone inscribed in the given cone whose apex is O and whose
base is parallel to the base of the given cone. Then the ratio V2/V1 is-