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JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

Two parallel chords of a circle of radius 2 are at a distance apart. If the chords subtend at the centre, angles of magnitude and , where then the value of , the largest integer less than or equal to , is

Answer: 3

Solution

A chord subtending angle at the centre is at distance from it. Let ; the distances are and .

*Same side of the centre:* with , whose maximum (at ) is $Missing argument for \frac\frac94 <

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Question ID VK-110788