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MCQMediumJEE Main 2023 · 24 January, Shift 2Equation of Plane

Mathematics Question from JEE Main 2023 · 24 January, Shift 2

Let the plane containing the line of intersection of the planes P1:x+(λ+4)y+z=1P_1: x + (\lambda + 4)y + z = 1 and P2:2x+y+z=2P_2: 2x + y + z = 2 pass through the points (0,1,0)(0, 1, 0) and (1,0,1)(1, 0, 1). Then the distance of the point (2λ,λ,−λ)(2\lambda, \lambda, -\lambda) from the plane P2P_2 is:

  • A

    565\sqrt{6}

  • B

    464\sqrt{6}

  • C

    262\sqrt{6}

  • D

    363\sqrt{6}

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