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The number of values of k for which the ...

The number of values of `k` for which the system of equations:
`kx+(3k+2)y=4k`
`(3k-1)x+(9k+1)y=4(k+1)` has no solution, are

A

`0`

B

`1`

C

`2`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
A
`cancel (9k^(2))+k=cancel(9k^(2))+3k-2`
`k=1`
but it is not possible because at `k=1` there will be infinite solution.
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