JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If the system of linear equation \(x - 4y + 7z = g,\,3y - 5z = h, \,-\,2x + 5y - 9z = k\) is
consistent, then
- A \(g+h+k=0\)
- B \(2g+h+k=0\)
- C \(g+h+2k=0\)
- D \(g+2h+k=0\)
Answer & Solution
Correct Answer
(B) \(2g+h+k=0\)
Step-by-step Solution
Detailed explanation
\({P_1} = x - 4y + 7z - g = 0\) \({P_2} = 3x - 5y - h = 0\) \({P_3} = - 2x + 5y - 9z - k = 0\) Here \(\Delta = 0\) \(2{P_1} + {P_2} + {P_3} = 0\) when \(2g + h + k = 0\)
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