The pair of equations are 7x+8ky-16=0 and 14x+112y-21=0. Find the value of ‘k’ for which the system is inconsistent.
Equations : 7x+8ky-16=0 and 14x+112y-21=0
For two equations to be inconsistent (no solution), the ratio of coefficients of both equations must be of the form = $$\frac{a_1}{b_1}=\frac{a_2}{b_2}\neq\frac{c1}{c_2}$$
=> $$\frac{7}{14}=\frac{8k}{112}\neq\frac{-16}{-21}$$
=> $$\frac{k}{14}=\frac{1}{2}$$
=> $$k=\frac{14}{2}=7$$
=> Ans - (D)
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