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For what value of k, the system of equations kx + 2y = 2 and 3x + y = 1 will be coincident?
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {\text{For coincident lines}} \cr
& \frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} = \frac{{{c_1}}}{{{c_2}}} \cr
& \therefore \frac{k}{3} = \frac{2}{1} = \frac{2}{1} \cr
& {\text{Hence, }}k = 3 \times 2 \cr
& k = 6 \cr} $$
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