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Quick questions on The circle: equation, intersection and tangents - SQA Higher Maths

3short 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 q1?
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State the centre and radius of x2+y2−6x+4y−12=0x^2 + y^2 - 6x + 4y - 12 = 0. [3 marks]
What is q2?
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Show that the line y=2x+5y = 2x + 5 is a tangent to x2+y2=5x^2 + y^2 = 5. [3 marks]
What is q3?
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Find the equation of the circle with centre (2,−1)(2, -1) that passes through (5,3)(5, 3). [3 marks]

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