If the chord y = mx + 1 of the circle x^2 + y^2 = 1 subtends an angle of measure 45^0 at the major segment of the circle then value of m is

JEE Main 2002 Mathematics question

If the chord of the circle subtends an angle of measure at the major segment of the circle then value of is

(1)
(2)
(3)
(4)none of theseCorrect

Answer: (4)

Solution

An angle of subtended at a point of the major segment means the chord subtends at the centre. For a unit circle, a chord subtending at the centre is at distance from the centre. Distance of from the origin is

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Question ID VK-038017