AP EAMCET Engineering 22 Sep 2020 Shift 2 Paper

Given lines are 3x−4y+5=0...(i)
6x−8y−9=0
⇒ 3x−4y−‌

9

2

=0...(ii)
Given lines (i) and (ii) are parallel to each other and they are touching the required circle
∴ Distance between lines (i) and (ii) = diameter of circle
∴‌‌‌

|C1−C2|

√a2+b2

=2r
‌

|5+ 9 2 |

√32+(−4)2

=2r
∴‌‌2r=‌

19/2

5

⇒2r=‌

19

10

⇒r=‌

19

20