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​Q22: Answers – Paper 3 – June 2019

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Content:

• Circle Theorem Tangents
• Trig – Finding a Side
• ​Equations of Circles​

Quizzes:

• Trig – Finding a Side
• Equations of Circles

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Mark Scheme

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Working
​The diagram shows a circle, centre O.

​AB is the tangent to the circle at the point A.
Angle OBA 30°

Point B has coordinates (16, 0)
Point P has coordinates (3p, p)

Find the value of p.
Give your answer correct to 1 decimal place.
​You must show all your working.

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Question

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22) 
​The diagram shows a circle, centre O.

AB is the tangent to the circle at the point A.
Angle OBA 30°

Point B has coordinates (16, 0)
Point P has coordinates (3p, p)

Find the value of p.
Give your answer correct to 1 decimal place.
​You must show all your working.

[4 marks]​​

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