A) 0
B) 20
C) 30
D) None of these
Correct Answer: B
Solution :
Given, equation of line \[\frac{ax}{c-1}+\frac{by}{c-1}+1=0\] two independent parameters. It can pass through a fixed point, if it contains only one independent. Now, there must be one relation between \[\frac{a}{c-1}\] and \[\frac{b}{c-1}\] independent of a,b and c. So that \[\frac{a}{c-1}\] can be expressed in terms of \[\frac{b}{c-1}\] and straight line contains only one independent parameter. Now, that given relation can be expressed as \[\frac{5a}{c-1}+\frac{4b}{c-1}=\frac{t-20c}{c-1}\] RHS is dependent of \[c,\] if \[t=20\].
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