Pure Year 1 C6 Flashcards

1
Q

Equation of circle with centre (0,0) and radius r =

A

x²+y²= r²

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2
Q

Equation of circle with centre (a,b) =

A

(x - a)² + (y - b)² = r²

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3
Q

if given in form x² + y² + 2fx +2gy +c =0?

A

centre = (-f, -g) and radius √f² + g² -c

factorise and separate x to y and collect terms.

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4
Q

Tangent is perpendicular to …

A

radius of circle

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5
Q

perpendicular bisector of chord goes through…

A

centre of circle

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6
Q

to find centre of circle given any 3 points…

A
  1. find equations of perpendicular bisectors of 2 chords
  2. find coords of intersection and hisectors
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