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If the circle x^2+y^2-4x-8y-5=0 intersec...

If the circle `x^2+y^2-4x-8y-5=0` intersects the line `3x-4y=m` at two distinct points, then find the values of `mdot`

Text Solution

Verified by Experts

The correct Answer is:
`-35 < m <15`
We must have
Radius of given circle `gt ` Perpendicular distance from the center of circle to the given line
or `sqrt(4+16+5)gt (|3(2)-4(4)-m|)/(sqrt(9+16))`
or `|m+10| lt 25`
or `-35 lt m lt 15`
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