1. Standard Form and General Form of Circle Eats
Standard Form Ex hit ( y -142 is i. Where Ch K )
= -
=
,
is the centre
and r is the radius
General Form :
775 + DX + Ey -11=-0 ; where C- ¥ E) is the centre
,
-
±
and Chitti F) is the radius -
e. (3×-85-1 by-1275=16 × : y¥iT¥ A- ¥48 ! !
g. -
9×2-48×-164 + 9g Yi?¥⇐P¥J4E :)
>
+
162g-1729=16
9 ( x2 4¥ ✗ + yi 18g
-
+II )= 0
×,
y
-
coefficient ¥+414 1
Centre =f§ , -9 ) : Radius ¥ =
units ☒ ¥ :)
2 Properties of circles
CI ) Lin semi -
circle
diameter, then LAB G- hi
B
If AC is a
✓
l L 'm semi -
circle )
c
A
FAA if LABC -90° , then AC is
,
a diameter
( converse of Lin semi-circle)
(1) Chords of a circle
the 4¥ chord AB : 4¥11 ☒ AN -
Host .IT#---E&E-EbsAB5
* ¥-2K8- AM MB =
.
"
Fr
µ
→ If 0Mt AB then AM -43M
,
( line from centre 1- Chad bisects chad)
FB b- ; It AM -43M , then 0Mt AB
(line joining centre to mid pt of chad 1- chad )
-
.
☒ f-
☒
; If AM=MB and OMIAB , then 0M passes through 0
.
( 1- bisector of chord passes through centre )
Standard Form Ex hit ( y -142 is i. Where Ch K )
= -
=
,
is the centre
and r is the radius
General Form :
775 + DX + Ey -11=-0 ; where C- ¥ E) is the centre
,
-
±
and Chitti F) is the radius -
e. (3×-85-1 by-1275=16 × : y¥iT¥ A- ¥48 ! !
g. -
9×2-48×-164 + 9g Yi?¥⇐P¥J4E :)
>
+
162g-1729=16
9 ( x2 4¥ ✗ + yi 18g
-
+II )= 0
×,
y
-
coefficient ¥+414 1
Centre =f§ , -9 ) : Radius ¥ =
units ☒ ¥ :)
2 Properties of circles
CI ) Lin semi -
circle
diameter, then LAB G- hi
B
If AC is a
✓
l L 'm semi -
circle )
c
A
FAA if LABC -90° , then AC is
,
a diameter
( converse of Lin semi-circle)
(1) Chords of a circle
the 4¥ chord AB : 4¥11 ☒ AN -
Host .IT#---E&E-EbsAB5
* ¥-2K8- AM MB =
.
"
Fr
µ
→ If 0Mt AB then AM -43M
,
( line from centre 1- Chad bisects chad)
FB b- ; It AM -43M , then 0Mt AB
(line joining centre to mid pt of chad 1- chad )
-
.
☒ f-
☒
; If AM=MB and OMIAB , then 0M passes through 0
.
( 1- bisector of chord passes through centre )
