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Question

The pair of lines and 2x7y5=0 are consistent.

A
x=3
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B
x=1
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C
x=2
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Solution

The correct option is C x=2
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, the equations x=2 and 2x7y5=0 are consistent.

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