Question:
Prove that the line segment joining the points of contact of two parallel tangents of a circle, passes through its centre.
Answer:
Let AB and CD are the two parallel tangents drawn to the circle.
Let P and Q are the points of contact and POQ is a line segment.
Now, join OP and OQ where O is the centre of the circle.
From the figure,
AB || CD
and OP || OQ
As OP and OQ pass through the center O
Hense POQ is a straight line which passes through the center of the circle.
Not what you are looking for? Go ahead and submit the question, we will get back to you.
