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Matrices and Determinants question

2020 · 2 Sep · Shift 2 · Q36
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Matrices and Determinants question

2020 · 2 Sep · Shift 2 · Q36

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A = {X = (x, y, z)T: PX = 0 and x2 + y2 + z2 = 1} where P=[121−23−419−1]P = \left[ {\begin{matrix} 1 & 2 & 1 \\ { - 2} & 3 & { - 4} \\ 1 & 9 & { - 1} \\ \end{matrix} } \right]P=​1−21​239​1−4−1​​, then the set A :
  1. A
    is an empty set.
  2. B
    contains more than two elements.
  3. C
    contains exactly two elements.
  4. D
    is a singleton.
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