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Question

For a pair of linear equations
a1x+b1+c1=0 and a2x+b2+c2=0
a1=12, b1=2, c1=6 and a2=24, b2=4, c2=7.
Find the number of solutions the pair of equations will have.


A

One solution

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B

Infinite solutions

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C

Two solutions

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D

No solution

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Solution

The correct option is D

No solution


For a pair of linear equations a1x+b1+c1=0 and a2x+b2+c2=0, when a1a2=b1b2c1c2, there is no solution as the lines that represent these equations are parallel to each other.

Here, 1224=2467

12=1267

Therefore, there is no solution for the given pair of linear equation.


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