Let A = X = (x, y, z)^(T): PX = 0 and x² + y² + z² = 1 where P = [ 1 2 1 - 2 3 - 4 1 9 - 1 ], then the set A:

(C) contains exactly two elements.

(B) contains more than two elements.

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 2 Sep, Evening shift · Q4580

JEE Main 20202 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A = {X = (x, y, z)^T: PX = 0 and x² + y² + z² = 1} where

P = \left[ {\matrix{ 1 & 2 & 1 \cr { - 2} & 3 & { - 4} \cr 1 & 9 & { - 1} \cr } } \right]

, then the set A :

JEE Main 2020 · 2 Sep, Evening shift · Q4580

JEE Main 20202 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A = {X = (x, y, z)^T: PX = 0 and x² + y² + z² = 1} where

P = \left[ {\matrix{ 1 & 2 & 1 \cr { - 2} & 3 & { - 4} \cr 1 & 9 & { - 1} \cr } } \right]

, then the set A :