AP EAPCET 20-Aug-2021 Shift 1 Paper

x2+y2−4x−8y−5=0
Centre =(2,4)
Radius =2√4+16+5=10
Line : 3x−4y−m=0
Distance of L from Centre< Radius

|3.2−4.4−m|

√32+42

<10
⇒

|6−16−m|

5

<10
⇒|−10−m|<50
⇒−50<−10−m<50
⇒−40<−m<60
⇒−60<m<40
Only (d) satisfies the above inequality.