Military College of Signals Coordinate Geometry Trigonometry Questions

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These questions are mostly for coordinate geometry and trigonomics. Please use detailed reasoning in these questions

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6
In this question you must show detailed reasoning.
A circle touches the lines y = { x and y= 2x at (6, 3) and (3, 6) respectively.
y
29
1 x; im of the radius = 1/2
2x; m of the radius=2
(3,6)
18
(6,3)
O
Tangent to a circle theoreu
[
7]
Find the equation of the circle.
С
7 구
A
2 음
1
1
B
The diagram shows triangle ABC, in which angle A = 0 radians, angle B = in radians and AB = 1 unit
1
(1) Use the sine rule to show that AC =
cos 0-sin 0
[3]
(ii) Given that is a small angle, use the result in part (i) to show that
AC ~1+pe+q02,
[4]
where p and q are constants to be determined.
20
26+29=46

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Tags:
small angle

detailed reasoning

circle touches

sine rule

circle theorem

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