Question

16+
Pau
Show that the circles x² + y2 – 6x - 9y+13= 0, x² + y2 – 2x - 16 y = 0 touch each othe
the point of contact and common tangent at this point of contact
Sol: Given circle are x2 + y2 - 6x - 9y+13=0 ; x2 + y2 - 2x -16y = 0
Centre C =(-8,-f)
Centre C2 =(-8,-f)
311
9
= 3,
= (1,8)
2
Radius
n = √8² + f² –c
Radius r = V8? + f2 - C
an
81
9+--13
4
= V1+64 = 165
C
V65
165
2
49
Distance between the centers GC2 = 14+
4
V65 V65
C,C₂ = 112 - ri
2.
12-9 = 165
2
2
The circles touch internally point of contact P divides CC, in the ratio r. :r, external​

Answer 1

Answer:

16+

Pau

Show that the circles x² + y2 – 6x - 9y+13= 0, x² + y2 – 2x - 16 y = 0 touch each othe

the point of contact and common tangent at this point of contact

Sol: Given circle are x2 + y2 - 6x - 9y+13=0 ; x2 + y2 - 2x -16y = 0

Centre C =(-8,-f)

Centre C2 =(-8,-f)

311

9

= 3,

= (1,8)

2

Radius

n = √8² + f² –c

Radius r = V8? + f2 - C

an

81

9+--13

4

= V1+64 = 165

C

V65

165

2

49

Distance between the centers GC2 = 14+

4

V65 V65

C,C₂ = 112 - ri

2.

12-9 = 165

2

2

The circles touch internally point of contact P divides CC, in the ratio r. :r, external​

DON'T KNOW

Step-by-step explanation: