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Circle through 3 Points

4. A chord PQ...

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4. A chord PQ of a circle is parallel to the tangents drawn at a point R of the circle. Prove that R bisects the arc PRQ

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P Q

of a circle is parallel to the tangent drawn at a point

R

of the circle. Prove that

R

bisects the arc

P R Q .

Q. Question 8
A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle. Prove that R bisects the arc PRQ.

Q. Prove that the tangent drawn at the mid-point of an arc of a circle is parallel to the chord joining the end points of the arc.

Q. Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at that point A .

Q. Question 9
Prove that the tangent drawn at the mid-point of an arc of a circle is parallel to the chord joining the end points of the arc.

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