A) \[3x-4y-24=0\]
B) \[4x-3y+17=0\]
C) \[4x+3y-8=0\]
D) \[3x+4y-6=0\]
Correct Answer: C
Solution :
[c] As circle touches the y-axis, let the centre be (r, 4) where r is the radius of the circle \[\because \,\,\,\,\,\,\,\,\,\sqrt{{{\left( r-2 \right)}^{2}}+{{4}^{2}}}={{r}^{2}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,r=5\] Now if a line touches the circle then length of perpendicular from \[(5,4)\] to that line must be equals to 5. Only option is correctYou need to login to perform this action.
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