A) \[{{a}^{2}}={{b}^{2}}={{c}^{2}}\]
B) \[a=b\]
C) \[{{b}^{2}}=c\]
D) \[{{b}^{2}}=a\]
E) \[{{a}^{2}}=b\]
Correct Answer: C
Solution :
The equation of line is \[ax+by+c=0\] \[\Rightarrow \] \[y=-\frac{a}{b}x-\frac{c}{b}\] Thus, this line will be tangent to the parabola \[{{y}^{2}}=4ax\]is \[-\frac{c}{b}=\frac{a}{-\frac{a}{b}}\Rightarrow c={{b}^{2}}\]
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