Q.
The number of values of k , for which the system of equations (k+1)x+8y=4k; kx+(k+3)y=3k−1 has infinitely ,many solutions is
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a
0
b
1
c
2
d
infinite
answer is B.
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Detailed Solution
The given system of equations are (k+1)x+8y=4k and kx+(k+3)y=3k−1 Given that, the system of equations has infinitely many solutions, Then k+1k=8k+3=4k3k−1 k+1k=4k3k−1 or 8k+3=4k3k−1 After simplification we get k=1
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