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​Q28: Question – Paper 1 – November 2017

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Content:

• Part a & b) Circles
• Part c) Midpoint Between Two Points
• Part c) Finding the Gradient
• Part d) Quadratic Simultaneous Equations
• Part d) Point of Intersection Between Two Equations​

Quizzes:

• Part a & b) Circles
• Part c) Midpoint Between Two Points
• Part c) Finding the Gradient
• Part d) Quadratic Simultaneous Equations
• Part d) Point of IntersectionBetween Two Equations

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Question
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28)

A, B and C are points on the circle    x² + y² = 36   as shown.

 

    A is on the y-axis.

    B is on the x-axis.

    M is the midpoint of AB.

    COM is a straight line.

​a) Show that the coordinates of A are (0, 6)

[1 mark]

​b) Work out the coordinates of B.

[1 mark]

​c) Show that the equation of the straight line passing through C, O and M is   y = x

[2 marks]

d) Work out the coordinates of C.
​Give your answers in surd form.

[3 marks]

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