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MCQMediumJEE Main 2023 · 31 January, Shift 2Equation of Plane

Mathematics Question from JEE Main 2023 · 31 January, Shift 2

Let the plane P:8x+α1y+α2z+12=0P: 8x + \alpha_1 y + \alpha_2 z + 12 = 0 be parallel to the line L:x+22=y−33=z+45.L: \frac{x+2}{2} = \frac{y-3}{3} = \frac{z+4}{5}. If the intercept of PP on the yy-axis is 11, then the distance between PP and LL is:

  • A

    14\sqrt{14}

  • B

    614\frac{6}{\sqrt{14}}

  • C

    27\frac{\sqrt{2}}{7}

  • D

    72\frac{\sqrt{7}}{2}

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