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Card 1 of 24

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

When a line and circle equation are combined into a quadratic, the line is a tangent if the quadratic has one repeated root (or the discriminant is zero).

B

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.

C
(x2−x1)2+(y2−y1)2 \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} (x2​−x1​)2+(y2​−y1​)2​
D

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\boxed{(x-3)^2+(y+2)^2=26}(x−3)2+(y+2)2=26​.

Card 1 of 24

Circles Flashcards

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

24 flashcards on Edexcel A Level Maths Circles: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

Flashcards