Q. 144.8( 18 Votes )
Suppose you are given a circle. Give a construction to find its centre.
Steps of construction:
(i) Take three points A, B and C in the given circle.
(ii) Join AB and BC
(iii) Draw the perpendicular bisector of chord AB and BC which intersect each other at O
(iv) Point O will be the required centre of the circle because we know that, the perpendicular bisector of the chord always passes through the centre
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PQ and RQ are the chords of a circle equidistant from the centre. Prove that the diameter passing through Q bisects ∠PQR and ∠PSR.
RS Aggarwal & V Aggarwal - Mathematics