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JEE Main2002MathematicsCircleActual

If the chord y=m x+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

Options

  1. A2 2
  2. B-2 2
  3. C-1 2
  4. Dnone of these

Correct answer

C. -1 2

Step-by-step solution

Equation of circles x^2+y^2=1=(1)^2 aligned & x^2+y^2=(y-m x)^2 x^2=m^2 x^2-2 m x y x^2 (1-m^2 )+2 m x y=0 & 45= 2 m^2-0 1-m^2 = 2 m 1-m^2 1-m^2= 2 m m^2 2 m-1=0 & m= -2 4+4 2 = -2 2 2 2 =-1 2 aligned

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