TMUA Practice Question — Worked Solution

P2·Coordinate Geometry·6.5Mock 0 · P2 · Q18

circle theoremsangles in the same segmenttangent circlemaximum anglecosine rule

The points

A (3, 4)

and

B (12, 16)

are fixed. The point

P

can be anywhere on the

x

-axis, and as

P

moves the angle

A P B

changes.What is the greatest possible value of

tan A P B

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