Question

12. Draw a circle with centre O and radius 3.5 cm.
Draw any chord PQ. Construct the perpendicular
bisector of PQ and examine through which point
it passes.
(2 Points)
O
Р
Q
None of these​

Answer 1

We are asked to draw the circle centered at O of radius 5 cm with its chord AB.

We follow the following steps:

STEP1: Draw a circle with centre at point O and radius 5 cm.

STEP2: Draw its cord AB.

STEP3: With centre A as centre and radius more than half of AB, draw two arcs, one on each side of AB.

STEP4: With B as centre and the same radius as in step3, draw arcs cutting the arcs drawn in the previous step at C and D respectively.

STEP5: Draw the line segment with C and D as end-points.

The diagram is shown in the above image.

The line segment CD is the required perpendicular bisector of AB. Since CD is perpendicular bisector of AB which is chord of circle,

Hence, it passes through the centre of the circle.