Representing a Pair of Linear Equations in Two Variables Graphically
State true:A ...
Question
State true\false:
A pair of linear equations is given by a1x+b1y+c1=0 and a2x+b2y+c2=0 and a1a2≠b1b2.
In this case, the pair of linear equations is consistent.
A
True
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B
False
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Solution
The correct option is A True If a1a2≠b1b2. The lines intersect and a unique solution is obtained. Therefore, in this case, the pair of linear equations is consistent. The correct answer is A.