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If the system of linear equations x(1...

If the system of linear equations
`x_(1)+2x_(2)+3x_(3)=6, x_(1)+3x_(2)+5x_(3)=9, 2x_(1)+5x_(2) +ax_(3)=b` is consistent and has infinite number of solutions, then

A

a = 8, b can be any real number

B

b = 15, a can be any real number

C

`a in R-{8} and b in R-{15}`

D

a = 8, b = 15

Text Solution

Verified by Experts

The correct Answer is:
D
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