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Circles

State the formula for the distance between points (x1,y1)(x_1, y_1)(x1​,y1​) and (x2,y2)(x_2, y_2)(x2​,y2​).

A

To find the centre and radius from x2+y2−6x+4y−13=0x^2+y^2-6x+4y-13=0x2+y2−6x+4y−13=0, you must complete the square to reach the form (x−3)2+(y+2)2=26(x-3)^2+(y+2)^2=26(x−3)2+(y+2)2=26.

B
(x2−x1)2+(y2−y1)2 \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} (x2​−x1​)2+(y2​−y1​)2​
C
(x2−x1)2+(y2−y1)2 (x_2-x_1)^2+(y_2-y_1)^2 (x2​−x1​)2+(y2​−y1​)2
D
∣ax1+by1+c∣a2+b2 \frac{|ax_1+by_1+c|}{\sqrt{a^2+b^2}} a2+b2​∣ax1​+by1​+c∣​

Circles Flashcards

  1. AS Level
  2. /Maths
  3. /Circles

Flashcards for Edexcel AS Level Maths Circles, covering the key formulae, methods and definitions you need to recall for Paper 1 and Paper 2. 24 cards drawn from 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles, matched to the Edexcel AS Level Maths (8MA0) specification.

Flashcards

Algebraic ExpressionsGraphs and TransformationsStraight Line GraphsThe Binomial ExpansionTrigonometric RatiosVectorsIntegrationExponentials and Logarithms