3 and 4 .Determinants and Matrices
hard

यदि रैखिक समीकरण निकाय $x-4 y+7 z=g$, $3 y-5 z=h$, $-2 x+5 y-9 z=k$ संगत (consistent) है, तो 

A

$g+h+k=0$

B

$2g+h+k=0$

C

$g+h+2k=0$

D

$g+2h+k=0$

(JEE MAIN-2019)

Solution

${P_1} = x – 4y + 7z – g = 0$

${P_2} = 3x – 5y – h = 0$

${P_3} =  – 2x + 5y – 9z – k = 0$

Here $\Delta  = 0$

$2{P_1} + {P_2} + {P_3} = 0$ when $2g + h + k = 0$

 

Standard 12
Mathematics

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