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

JEE Advanced Mathematics question

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

(A)
(B)Correct
(C)Correct
(D)none of these

Answer: (B),(C)

Solution

An angle of at the major segment means at the centre . *(Figure: unit circle centre ; chord on subtending at and at a point on the major arc.)* Homogenise using :

+=(y-\ ⇒\ (1-+2mxy=0

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Question ID VK-108877