TS EAMCET 4-Aug-2021 Shift 2 Question Paper

Given, equation of tangents
3x−4y+4=0
6x−8y+8=0
⇒‌‌6x−8y+8=0
∵ Slopes are equal ⇒ Lines are parallel
∴ Diameter of circle = Distance between the tangents
‌‌=‌

8+7

√62+82

=‌

15

√64+36

‌‌=‌

15

√100

=‌

15

10

=‌

3

2

∴ Radius of circle =‌

3

4

∴ Area of circle =π(‌

3

4

)2=‌

9π

16

sq. units