6. circles Flashcards

1
Q

midpoint of 2 coordinates equations

A

(x1+x2/2 , y1+y2/2)

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2
Q

equation of a circle with centre (0,0) and radius r

A

x^2 + y^2 = r^2

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3
Q

equation of a circle with a centre (a,b) and radius r

A

(x - a)^2 + (y - b)^2 = r^2

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4
Q

one point of intersection

A

touches the circle once

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5
Q

two points of intersections

A

goes through the circle twice

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6
Q

no point of intersection

A

does not touch the circle at all

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7
Q

tangent to a circle is

A

perpendicular to the radius of the circle at point of intersection

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8
Q

perpendicular bisector of a chord

A

will go though the centre of a circle

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9
Q

angle in a semi circle is always a

A

right angle
90 degrees

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