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Question

The condition for a1x+b1y+c1=0 and a2x+b2y+c2=0 to be consistent and have a unique solution is


A

a1a2 = b1b2 = c1c2

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B

a1a2 ≠​ b1b2

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C

a1a2 = b1b2c1c2

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D

a1a2 =​ b2b1 = c1c2

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Solution

The correct option is B

a1a2 ≠​ b1b2


For the given lines a1x+b1y+c1=0 and a2x+b2y+c2=0

a1a2b1b2 is the condition for 2 equations to be consistent and have an unique solution.


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