Examveda

2x - ky + 7 = 0 and 6x - 12y + 15 = 0 has no solution for;

A. k = -1

B. k = -4

C. k = 4

D. k = 1

Answer: Option C

Solution (By Examveda Team)

$$\eqalign{ & {\text{For no - solution,}} \cr & \frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} \ne \frac{{{c_1}}}{{{c_2}}} \cr & 2x - ky + 7 = 0{\text{ and }}6x - 12y + 15 = 0 \cr & \therefore \frac{2}{6} = \frac{{ - k}}{{12}} \cr & k = 4 \cr} $$

This Question Belongs to Arithmetic Ability >> Coordinate Geometry

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