JEE Main 2018

JEE Main 2018 Mathematics question on Matrices and Determinants

If the system of linear equations
x+ky+3z=0,3x+ky−2z=0x + ky + 3z = 0, \quad 3x + ky - 2z = 0
2x+4y−3z=02x + 4y - 3z = 0
has a non-zero solution (x,y,z)(x, y, z), then xzy2\dfrac{xz}{y^2} is equal to
  1. A.
    −10-10
  2. B.
    1010
  3. C.
    −30-30
  4. D.
    3030
Show answer

Correct option: B

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