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  • Angle bisectors of the angles subtended by the chord of a circle in the same segment, always represent  Option: 1</stro

Angle bisectors of the angles subtended by the chord of a circle in the same segment, always represent

 

Option: 1

A family of lines passing through a fixed point inside the circle.


Option: 2

A family of lines passing through a fixed point lying on the circle.

 


Option: 3

 A family of lines passing through a fixed point outside the circle.

 


Option: 4

 A family of lines which never passes through a fixed point.


Answers (1)

best_answer

From figure

\mathrm{\begin{aligned} & \angle \mathrm{AC}_1 \mathrm{~B}=\angle \mathrm{AC}_2 \mathrm{~B}=\angle \mathrm{AC}_3 \mathrm{~B}= \\ & \Rightarrow \angle \mathrm{PC}_1 \mathrm{~B}=\angle \mathrm{PC}_2 \mathrm{~B}=\angle \mathrm{PC}_3 \mathrm{~B}= \end{aligned}}

Hence all the angles bisectors \mathrm{\mathrm{PC}_1, \mathrm{PC}_2, \mathrm{PC}_3},... pass through a fixed point P which lies on the circle.

the circle.

 

Posted by

Rishabh

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