Find a circle's equation given two points and a right angle

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Resources on this page:
Video going through an SBD question | Key points | SBD with worked solution

Pure 1 Ex 6F Q8 - the answer is at the bottom of this page

Remember: productive practice is perfect preparation

• Once you have seen and understood how to do the question then do it yourself
• If you used help then after a few days retry the question without help

Key Points

You need to be able to:

• Use Pythagoras's theorem to solve circle problems
• Form and solve a quadratic to find an unknown
• Recognise that a right-angled triangle on a circle must include a diameter
• Derive the equation of a circle from a diameter

Answer to the textbook question at the top of this page