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If the y=mx+1, of the circle x^2+y^2=1 s...

If the `y=mx+1,` of the circle `x^2+y^2=1` subtends an angle of measure `45^@` of the major segment of the circle then value of `m` is -

Text Solution

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Length of the cord=`sqrt(1^2+1^2)=sqrt2`
`sqrt(1^2-(sqrt2/2)^2)=sqrt((4-2)/4)=1/sqrt2`
`(0,0), y=mx+1`
`|(0-0+1)/(sqrt(1+m^2))|=1/sqrt2`
`1/(1+m^2)=1/2`
`1+m^2=2`
`m=pm1`
option c is correct.
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