A) \[4x+3y+11=0\]and\[4x+3y+8=0\]
B) \[4x+3y-9=0\]and\[4x+3y+7=0\]
C) \[4x+3y+19=0\]and\[4x+3y-31=0\]
D) \[4x+3y-10=0\]and\[4x+3y+12=0\]
E) \[4x+3y+3=0\]and\[4x+3y-1=0\]
Correct Answer: C
Solution :
The centre and radius of given circle are\[(3,-2)\]and 5 respectively. The equation of a line parallel to \[4x+3y+5=0\]is\[4x+3y+\lambda =0\] \[\therefore \] \[\left| \frac{4\times 3+3\times (-2)+\lambda }{\sqrt{{{4}^{2}}+{{3}^{2}}}} \right|=5\] \[\Rightarrow \] \[\lambda =19,-31\] \[\therefore \]Equation of tangents are \[4x+3y+19=0\]and\[4x+3y-31=0\]
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