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Circle, Circle : - Coggle Diagram
Circle
Geometry/applications
Normal
Forma of equations
Tangent
Radical axis
Family of circles
Different cases of 2 circles
Circle :
Different forms of equations
Parametric form
x = r cos θ y = r sin θ
Circumscribing polygon
Triangle
L1L2 + $L2L3 + #L3L1 = 0
Quadrilateral
L1L2 + $L3L4 = 0
Two points on circle and chord subtending angle b/w them
Two points of diameter
(x-x1)(x-x2) + (y-y1)(y-y2) = 0
Coordinate axes
Radius and centre
Cond for 2 degree homo eqn to represent circle
a=b
h =0
Eqn of circle passing through 3 points
Tangent
Chord of contact
Equation of pair of tangents
Normal to circle
Eq of tangent drawn to cirlce from external point
Director circle
Equation of tangent to circle having given slope
Equation of tangent to citcle on a point on circle
Geometrical properties
Position of point wrt circle
S1 >, =, < 0
Position of line wrt circle
D >, =, < 0
Equation of Chord of circle
T = S1
Length of tangent to circle
Secant
Max/Min dist b/w point and circle
Intercept of circle on axes
Intersection of circles
one inside another
Touching externally
Touching internally
Disjoint circles
Intersecting
Family of Circles
Two points
Two intersecting circles
Fixed circle and line
Fixed point and a line
Radical Axis
Orthogonal intersection of circles
Of 3 cirlces
Of 2 circles
