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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

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
Construction: Join OB

Directions: Solve the following
Q 1: Two rays ABP and ACQ are intersected by two parallel lines in B, C, P and Q respectively.Prove that the circumcircles of triangles ABC and APQ touch each other at A.

Q 2: Find the locus of the centre of circle of constant radius r, which touches a given circle of radius r1 externally.

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Question 4: This question is available to subscribers only!

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