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The system kx - y = 2 and 6x - 2y =...

The system ` kx - y = 2 and 6x - 2y = 3` has a unique solution only when

A

` k = 0 `

B

` k ne 0 `

C

` k =3 `

D

` k ne 3 `

Text Solution

Verified by Experts

The correct Answer is:
D
For a unique solution, we have ` (a_1)/(a_2) ne (b_1)/(b_2 ) ` .
` therefore (k)/(6) ne (-1)/(2) rArr k ne 3`.
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Knowledge Check

  • The system x - 2y = 3 and 3x + ky = 1 has a unique solution, when

    A
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    B
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    D
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    D
    any real value of k

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    B
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    D
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