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Question

For what value of k, the pair of linear equations 3x + ky = 9 and 6x + 4y = 18 will have infinitely many solutions?


A

-5

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B

6

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C

1

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D

2

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Solution

The correct option is D

2


The given linear equations are: 3x + ky = 9; 6x + 4y = 18.
Here, a1=3, b1=k, c1=9 and a2=6, b2=4, c2=18

Given equations gives infinitely many solutions,
a1a2=b1b2=c1c2
36=k4=918
12=k4
k=2


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