Q.

If the system of equations xλyz=0λxyz=0x+yz=0 has a unique solution, then the range of λ is R{a,b},  Then the value of 
(a2 + b2) is

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a

2

b

1

c

9

d

4

answer is B.

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Detailed Solution

Δ0 1λ1λ111110
1(1+1)+λ(λ+1)1(λ+1)02λ2+λλ10,λ21λ1,1,a2+b2=2

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If the system of equations x−λy−z=0λx−y−z=0x+y−z=0 has a unique solution, then the range of λ is R−{a,b},  Then the value of (a2 + b2) is