A) 7/5
B) 9/5
C) 11/5
D) 32/5
Correct Answer: A
Solution :
[a]Equation of circle \[{{x}^{2}}+{{y}^{2}}-6x+8y=0\] |
\[{{(x-3)}^{2}}+{{(y+4)}^{2}}=25\] |
Centre \[(3,-\,4),\]radius = 5 |
Distance from \[(3,-\,4)\]to the line \[3x+4y-25=0\]is \[d=\left| \frac{9-16-25}{5} \right|=\frac{32}{5}\] |
Shortest distance \[=d-r=\frac{32}{5}-5=\frac{7}{5}\] |
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