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Q.

If the system of equations  x + 2y 3z=1,(p +  2)z =3,(2p + 1)y+z=2 is inconsistent, then the value of p is

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a

-2

b

-12

c

0

d

2

answer is A.

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Detailed Solution

detailed_solution_thumbnail

If p2,12 then  z=3p+2 and y=1p+2 corresponding to this value we can get x 

 If p =  1/2, we get z = 2. Corresponding to which we get infinite number of value of x and y 

 For p =2, the system of equations is inconsistent

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