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QJEEM21Ma1db8: JEE Main 2021 Mathematics - Class 12 JEEM21Ma1db8 Solution: For real numbers and , consider the following system of linear…
For real numbers and , consider the following system of linear equations :
x + y z = 2, x + 2y + z = 1, 2x y + z = . If the system has infinite solutions, then + is equal to ______________.
x + y z = 2, x + 2y + z = 1, 2x y + z = . If the system has infinite solutions, then + is equal to ______________.
Step-by-Step Verified Solution
For infinite solutions
= 1 = 2 = 3 = 0
=
= 3(2 + ) = 0
= 2
1(1 + 2 ) 2(1 + 4) ( 2) = 0
7 = 0
= 7
+ = 5
= 1 = 2 = 3 = 0
=
= 3(2 + ) = 0
= 2
1(1 + 2 ) 2(1 + 4) ( 2) = 0
7 = 0
= 7
+ = 5