The number of values of k for which the lines (k + 1)x + 8y = 4k and kx + (k + 3)y = 3k - 1 are coincident is
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answer is 1.
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Detailed Solution
Lines (k + 1)x + 8y = 4k and kx + (k + 3)y = 3k - 1 are coincident.Then we can compare the ratio of coefficients as k+1k=8k+3=4k3k−1or k2+4k+3=8k and 24k−8=4k2+12kor (k−3)(k−1)=0 and (k−2)(k−1)=0 or k=1