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Paragraph: Let L : x+y+z+4=0=2 x-y-z+8 be a line and P : x+2 y+3 z+1=0 be a plane Question: What is the point of intersection of L and P ?

Options

  1. A(4,3,-3)
  2. B(4,-3,3)
  3. C(-4,-3,-3)
  4. D(-4,-3,3)

Correct answer

D. (-4,-3,3)

Step-by-step solution

To find point of intersection of L and P . The point must satisfy both line L and P . From option (d) (-4,-3,3) , will satisfy both line L and plane P. So, option (d) is correct answer.

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