A) 2
B) 1
C) -2
D) 3
Correct Answer: B
Solution :
Let the equation of\[AB\]be\[\frac{xb}{a}+\frac{y}{b}=1\]. Since, the line AB touches the circle \[{{x}^{2}}+{{y}^{2}}-4x-4y+4=0\] \[\therefore \] \[\frac{\left| \frac{2}{a}+\frac{2}{b}=1 \right|}{\sqrt{\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}}}=2\] [Since, \[O(0,\,\,0)\]and\[C(2,\,\,2)\]lie on the same side of\[AB\], therefore\[\frac{2}{a}+\frac{2}{b}-1<0\]]You need to login to perform this action.
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