Chapter 5
I’m Up and Down, and Round and Round
CBSE Class 9
Mathematics Solutions
Educart Mathematics class Class 9 NCERT Exemplar cover
Question:

Prove that the perpendicular bisector of a chord passes through the centre of the circle.

Answer: Verified

Let AB be a chord of a circle with centre O.

Answer image

Since OA = OB (both are radii), O is equidistant from A and B.
Therefore, O lies on the perpendicular bisector of AB (by the locus property of the perpendicular bisector).

Hence, the perpendicular bisector of the chord AB passes through the centre O.

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(All Q's of this Chapter solved)
More NCERT Questions
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