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Questions  

Statement - I : The system of equations x+y+z=6,xy+z=2,2xy+3z=9 has unique solution

statement -II : The system of equations x+y+z=1,2x+y+z=2,x+2y+2z=1 has no solution

a
only I is are true
b
only II is true
c
Both I, II are true
d
Neither I nor II are true

detailed solution

Correct option is A

Statement : I[AB]=11161−1122−139R2−R1R3−2R1~11160−20−40−31−3~11160−20−400262R3−3R2⇒ unique solutionsStatement : II Since, [AB]=111121121221   R2→R2−2R1R3→R3−R1 ~  11110−1−100110R3→R3+R2  ~  11110−1−100000Rank AB= Rank A<3, Infinitely solutions

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