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Question

The circle x2+y2=4x+8y+5 interesects the line 3x - 4y = m at two distinct points if
(2010)


A

-35 < m < 15

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B

15 < m < 65

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C

35 < m < 85

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D

-85 < m < -35

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Solution

The correct option is A

-35 < m < 15


Circle x2+y24x8y5=0
Centre = (2, 4), Radius =4+16+5=5
If circle is intersecting line 3x - 4y = m at two distinct points.
length of perpendicular from centre < radius
|616m|5<5|10+m|<25
-35 < m < 15.


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