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Online Quiz (Worksheet A B C D)

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High School Mathematics - 2
8.13 Secants

Theorem: (Tangent- Secant theorem or Alternate Segment theorem)
The angle between chord AB and tangent PQ through the point of contact is equal to the angle in the alternate segment.
Given: PQ is a tangent at A to the circle with O as center. AB is a chord.
To prove: If C is a point on a major arc and D is a point on a minor arc with respect to the chord AB then
BAQ = ACB and PAB = ADB
Construction: Join OB


Directions: Solve the following
Q 1: Two circles with centres O and Ol touch internally at a point P. A line is drawn to pass through P intersecting the two circles at Q and R respectively. Prove that OQ ll OlR.
Answer:

Question 2: This question is available to subscribers only!


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