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Q.

Is it true that the perpendicular bisector drawn from a diameter is another diameter of the circle of radius 6cm?

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a

True

b

False

answer is A.

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Detailed Solution

We have to check if the perpendicular bisector drawn from a diameter is another diameter of the circle of radius 6cm.
A diameter AB is drawn in a circle with a radius of 6cm.
We will first draw another perpendicular bisector to line AB.
Then an arc from point A is drawn.
Next, another arc is drawn from point B. Another line is then drawn from the point where these two intersections of the arc meet.
So, point O becomes the centre of the AB. Question Image

Question Image

We see that PQ passes through the centre, therefore it is a diameter.
Hence, the given statement is true and option 1 is correct.

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