Math, asked by danicaquintana14471, 10 hours ago

If the circles x2+y2+2cx+b=0 and x2+y2+cx+b=0 touch each other, then

Answers

Answered by namdeoshikhu777
0

Answer:

represents the circle with centre C

1

≡(−a,−b) & radius r

1

=

a

2

+b

2

−c

S

2

:x

2

+y

2

+2bx+2ay+c=0⇒ represents the circle with centre C

2

≡(−b,−a) & radius r

2

=

a

2

+b

2

−c

Distance between centre =

(a−b)

2

+(a−b)

2

=

2

(a−b)

case - 1

2

(a−b)=r

1

+r

2

=2

a

2

+b

2

−c

( touching externally )

2a

2

+2b

2

−4ab=4a

2

+4b

2

−4c

2a

2

+2b

2

+4ab=4c

(a+b)

2

=2c

case - 2

2

(a−b)=r

1

−r

2

=0 ( Touching internally ) which is not possible.

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