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The plane passing through the point (4, –1, 2) and parallel to the lines and also passes through the point :
  • a)
    (–1, –1, –1)
  • b)
    (–1, –1, 1)
  • c)
    (1, 1, –1)
  • d)
    (1, 1, 1)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The plane passing through the point (4, –1, 2)and parallel to th...
Let be the normal vector to the plane passing through (4, –1, 2) and parallel to the lines L1 & L2


∴ Equation of plane is
–1(x – 4) – 1(y + 1) + 1(z – 2) = 0
∴ x + y – z – 1 = 0
Now check options
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The plane passing through the point (4, –1, 2)and parallel to the linesandalso passes through the point :a)(–1, –1, –1)b)(–1, –1, 1)c)(1, 1, –1)d)(1, 1, 1)Correct answer is option 'D'. Can you explain this answer?
Question Description
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