State whether the given statement is true or false:
A pair of linear equations is given by a1x+b1y+c1=0 and a2x+b2y+c2=0 and a1a2=b1b2≠c1c2.
In this case, the pair of linear equations is inconsistent.
A
True
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B
False
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Solution
The correct option is A True If a1a2=b1b2≠c1c2. The lines are parallel and no solution is obtained. Therefore, in this case, the pair of linear equations is inconsistent. So the correct answer is A.