Q. 16 C5.0( 1 Vote )

# Let us fill in the blanks:i. If the ratio of two chords PQ and RS of a circle with its centre O is 1 : 1, then ∠POQ: ∠ROS=_______________ii. The perpendicular bisector of any chord of a circle is __________ of that circle.

(i) 1:1

In AOB and COD

AB = CD

OA = OC = OB = OD

SSS Congruency.

So each and every angles and sides should be equal.

OAB = OCD = OBA = ODC

(ii) Passes through the origin of that Circle.

As you can see in this image The perpendicular bisector passes through the centre.

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