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Quick questions on Coordinate geometry: straight lines, circles and parametric curves - Edexcel A-Level Maths

7short 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 straight line?
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A line is fixed by a gradient and a point, or by two points.
What is the circle?
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The equation of a circle comes directly from the distance formula.
What are parametric equations?
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A parametric curve gives xx and yy as functions of a parameter tt. You convert to Cartesian form by eliminating tt.
What is sign slip completing the square for a circle?
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Remember to subtract the squared term, so x2−6x=(x−3)2−9x^2 - 6x = (x - 3)^2 - 9.
What is q1?
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Find the equation of the line through (1,2)(1, 2) perpendicular to y=2x+5y = 2x + 5. [3 marks]
What is q2?
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Write down the centre and radius of (x+1)2+(y−4)2=9(x + 1)^2 + (y - 4)^2 = 9. [2 marks]
What is q3?
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Convert the parametric equations x=3cos⁡tx = 3\cos t, y=3sin⁡ty = 3\sin t to Cartesian form. [2 marks]

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