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If the system of equation x – 2y + z = -...

If the system of equation `x – 2y + z = -4, x + y + lambda z=4 and 2x – y + 2 z = 2` has no solution, then `lambda` lies in

A

`(0, 3/4)`

B

`(3/4, 5/4)`

C

`(5/4, 2)`

D

`(2, 4)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The system of equation -2x + y + z = 1, x – 2y + z = –2, x + y + lambdaz = 4 will have no solution if

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    `lambda = –2`
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    `lambda = –1`
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    20
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    22
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    23
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  • The system of linear equations lambda x + y + z = 3 x - y - 2z = 6 -x + y + z = mu has

    A
    infinite number of solutions for `lambda ne - 1 ` and all `mu`
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    infinite number of solutions for `lambda` = -1 and `mu` = 3
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