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SingaporeAdditional MathematicsQuick questions

Coordinate Geometry and Circles

Quick questions on The equation of a circle: N(A)-Level Additional Mathematics

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the general (expanded) form?
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Multiplying out the standard form gives a general equation of the type:
What are not moving the subtracted constants?
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After completing the square, the −16-16 and −1-1 must be taken to the other side before reading the radius.
What is q1?
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Write the equation of the circle with centre (0,0)(0, 0) and radius 44. [1 mark]
What is q2?
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State the centre and radius of (x−1)2+(y+5)2=9(x - 1)^2 + (y + 5)^2 = 9. [2 marks]
What is q3?
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Find the centre and radius of x2+y2−4x−6y+9=0x^2 + y^2 - 4x - 6y + 9 = 0. [3 marks]

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