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Question

Find the valueof k for which the following system of equations has no solution:
2x + 3y - 5 = 0 and kx + 6y - 8 = 0
  1. 0
  2. 1
  3. 4
  4. 2


Solution

The correct option is C 4
Given two equations a1x+b1y=c1 and a2x=b2y=c2,
the pair of equations will not have a solution if a1a2=b1b2c1c2,

Thus, for the given pair of equations to have no solution, 
2k=36=58
2k=1258
k=4

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