TS EAMCET 19-July-2022 Shift 1 Solved Paper

Centre of circle (O1)=(−3,−4)
Radius of circle (r1)=√(−3)2+(−4)2−24=1
Centre of circle (O2)=(3,4)
Radius of circle (r2)=√32+42−9=4
Centre of the similitude divides O1 and O2 internally and externally in the ratio r1:r2
For Internally,
C1=(‌

3−12

5

,‌

4−16

5

)=(‌

−9

5

,‌

−12

5

)
For Externally,
C2‌=(‌

3+12

−3

,‌

4+16

−3

)=(−5,‌

−20

3

)
C1C2‌=√(‌

−9

5

+5)2+(‌

−12

5

+‌

20

3

)2
‌=√‌

256

25

+‌

4096

225

=√‌

6400

225

=‌

80

15

=‌

16

3