Question

The circle x2+y2=4x+8y+5 intersects the line 3x-4y=m

Answer 1

Answer:

Circle x2+y2−4x−8y−5=0

Centre =(2,4)

Radius =4+16+5−−−−−−−−√

=25−−√

=5

If circle is intersecting line 3x−4y=m at two distinct points.

length of perpendicular from centre to the line < radius

=>|6−16−m|5<5

=>|10+m|<25

=>−25<m+10<25

=>−35<m<15

Hence A is the correct answer

Hope this will help you