If the following system has non-trivial solution, \(px + qy + rz = 0\) \(qx +…

2015

If the following system has non-trivial solution,

\(px + qy + rz = 0\)

\(qx + ry + pz = 0\)

\(rx + py + qz = 0\)

then which one of the following options is TRUE?

  1. A.

    \(p - q + r = 0 \text{ or } p = q = -r\)

  2. B.

    \(p + q - r = 0 \text{ or } p = -q = r\)

  3. C.

    \(p + q + r = 0 \text{ or } p = q = r\)

  4. D.

    \(p - q + r = 0 \text{ or } p = -q = -r\)

Attempted by 81 students.

Show answer & explanation

Correct answer: C

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