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Question

Which of these pairs of lines are consistent?
 


  1. 3xy=2;6x2y=2

  2. x3+y2=1;x+3y2=1

  3. x = 2; 2x - 7y - 5 = 0

  4. 3y - 2x = 2; 2x - 3y = 2


Solution

The correct option is C

x = 2; 2x - 7y - 5 = 0


For a pair of lines to be consistent, either a1a2b1b2 or a1a2=b1b2=c1c2.
In x = 2; 2x - 7y - 5 = 0,  a1a2b1b2. In all the other options, a1a2=b1b2c1c2.
Therefore, equations given in option A are consistent.

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