A) 2
B) 1
C) 4
D) 5
Correct Answer: B
Solution :
The equation of circle through points (0, 0), (1, 3) and (2, 4) is \[{{x}^{2}}+{{y}^{2}}-10x=0\] Point \[(k,\,3)\] will be on the circle, if \[{{k}^{2}}+9-10k=0\Rightarrow {{k}^{2}}-10k+9=0\] \[{{k}^{2}}-9k-k+9=0\Rightarrow k(k-9)-1(k-9)=0\] \[\Rightarrow \] \[k=1\] or\[k=9\].You need to login to perform this action.
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