A) \[-35,15\]
B) \[3,-5\]
C) \[35,-15\]
D) \[-3,5\]
E) 20, 15
Correct Answer: A
Solution :
The centre of circle is (2, 4). Radius\[=\sqrt{4+16+5}=5\] \[\therefore \]\[\bot \]distance of\[3x-4y-\lambda =0\] from (2, 4) = 5 \[\Rightarrow \] \[\left| \frac{6-16-\lambda }{\sqrt{9+16}} \right|=5\] \[\Rightarrow \] \[-10-\lambda =\pm 5\times 5=\pm 25\] \[\Rightarrow \] \[\lambda =-10\pm 25\] \[\Rightarrow \] \[\lambda =-35,15\]
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