A) 1
B) 2
C) 3
D) Infinite
Correct Answer: A
Solution :
Given equations are \[6x+3y=c-3\] and \[12x+cy=c\] For infinitely many solutions, \[\frac{6}{12}=\frac{3}{c}=\frac{c-3}{c}\] Taking first two members, we have \[\frac{1}{2}=\frac{3}{c}\,\,\Rightarrow \,\,c=6\] Thus, only one value of c exists.
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