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Question

Which of these pairs of lines are consistent?

A
x = 2; 2x - 7y - 5 = 0
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B
3y - 2x = 2; 2x - 3y = 2
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C
3xy=2;6x2y=2
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D
x3+y2=1;x+3y2=1
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Solution

The correct option is A x = 2; 2x - 7y - 5 = 0
For a pair of lines to be consistent, either a1a2b1b2ora1a2=b1b2=c1c2.
In x = 2; 2x - 7y - 5 = 0, a1a2b1b2. In all the other options, a1a2=b1b2c1c2.

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