Matrices and Determinants 4 Question 18

19. Given, $2 x-y+2 z=2, x-2 y+z=-4, \quad x+y+\lambda z=4$, then the value of $\lambda$ such that the given system of equations has no solution, is

(2004, 1M)

(a) 3

(b) 1

(c) 0

(d) -3

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Answer:

Correct Answer: 19. (b)

Solution:

  1. Since, given system has no solution.

$\therefore \Delta=0$ and any one amongst $\Delta _x, \Delta _y, \Delta _z$ is non-zero.

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