JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

If the pair of lines lie along two diameters of the circle such that the circle is divided into four sectors in which one sector has double the area of another sector then

Answer: (C)

Solution

Two diameters cut the circle into sectors with angles . Sector areas are proportional to their angles, so one is double an adjacent one: , i.e. (the other possibility describes the same pair of lines).

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Question ID VK-110183