draw a circle of radius 3cm with A centre take a point B on the circle .Now with B as a centre radius equal to 3cm draw another circle. Does this circle pass through the point A? Now let C and D be two point where does these two circle intersect? Are AB and CD perpendicular?
Answers
Given : a circle of radius 3cm with A centre take a point B on the circle .
.Now with B as a centre radius equal to 3cm draw another circle.
C and D be two point where does these two circle intersect
To Find : Does this circle pa ss through the point A
Are AB and CD perpendicular?
Solution:
Take a point A
use compass width = 3cm and A as center draw a circle
Take a point B on circle boundary
use compass width = 3cm and B as center draw a circle
Yes , this circle pa ss through the point A
as AB = 3cm and BA = 3 cm radius of circles
Yes AB and CD are perpendicular
CD is common chord of circle
Let say M is mid point of CD
Perpendicular from center of circle bisect the chord
=> AM ⊥ CD and BM⊥CD
Hence AMB is straight line
=> AB ⊥ CD
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