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KCET2010MathematicsCircle

The chord of the circle x²+y²-4 x=0 which is bisected at (1,0) is perpendicular to the line

Options

  1. Ay=x
  2. Bx+y=0
  3. Cx =1
  4. Dy=1

Correct answer

D. y=1

Step-by-step solution

Given, equation of circle x²+y²-4 x=0 , bisect by (1,0) Centre of circle =(2,0) Radius of circle =2 From figure, AB is the chord of circle which bisected by the point (1,0) and perpendicular to the line y =1 . Because it is parallel to x-axis while chord is parallel to y -axis.

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