Prove that the line joining the mid-point of two parallel chord of a circle passes through the centre
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3
yes its easy first of all u need to draw a circle with two equal chord and tldraw perpendicular besector of each
thus proobed
thus proobed
Answered by
16
Answer:
Let AB and CD be two parallel chords having P and Q as their mid-point respectively. Let O be the centres of the circle. Join OP and OQ and OX || AB or, CD.
Now, P is the mid-point of AB.
OP AB
=> BPO = 90°
but,
OX || AB
•°• POX = BPO
=> POX = 90°
Similarly, Q is the mid-point of CD
= OQ CD
= CQO = 90°
But,
OX || CD
•°• XOQ = CQO = 90°
= POX + XOQ= 90° + 90° = 180°
= POQ is a straight line.
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