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1.3.4 Coordinate geometry of a circle

The distance between A(x1,y1)A(x_1,y_1)A(x1​,y1​) and B(x2,y2)B(x_2,y_2)B(x2​,y2​) is [...]\text{[...]}[...].

A

A circle with centre (a,b)(a,b)(a,b) and radius rrr has equation (x−a)2+(y−b)2=r2\boxed{(x-a)^2+(y-b)^2=r^2}(x−a)2+(y−b)2=r2​.

B

20=25\sqrt{20}=2\sqrt{5}20​=25​

C

Completing the square gives x2+px=x^2+px=x2+px= (x+p2)2−(p2)2\boxed{\left(x+\frac{p}{2}\right)^2-\left(\frac{p}{2}\right)^2}(x+2p​)2−(2p​)2​.

D

The distance between A(x1,y1)A(x_1,y_1)A(x1​,y1​) and B(x2,y2)B(x_2,y_2)B(x2​,y2​) is (x2−x1)2+(y2−y1)2\boxed{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}(x2​−x1​)2+(y2​−y1​)2​​.

1.3.4 Coordinate geometry of a circle Flashcards

  1. A Level
  2. /Maths
  3. /1.3.4 Coordinate geometry of a circle

Flashcards for OCR A Level Maths 1.3.4 Coordinate geometry of a circle, covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 20 cards, matched to the OCR A Level Maths (H240) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.