Examveda

For what value of k, the system of equations kx + 2y = 2 and 3x + y = 1 will be coincident?

A. 2

B. 3

C. 5

D. 6

Answer: Option D

Solution (By Examveda Team)

$$\eqalign{ & {\text{For coincident lines}} \cr & \frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} = \frac{{{c_1}}}{{{c_2}}} \cr & \therefore \frac{k}{3} = \frac{2}{1} = \frac{2}{1} \cr & {\text{Hence, }}k = 3 \times 2 \cr & k = 6 \cr} $$

This Question Belongs to Arithmetic Ability >> Coordinate Geometry

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