imo class 12 three dimensional geometry

The Cartesian equation of the line through (1,2,3) parallel to vector (2,−1,4) is:

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The Cartesian equation of the line through (1,2,3) parallel to vector (2,−1,4) is:

  • A. (x−1)/2 = (y−2)/(−1) = (z−3)/4
  • B. (x+1)/2 = (y+2)/(−1) = (z+3)/4
  • C. x/2 = y/(−1) = z/4
  • D. (x−1)/4 = (y−2)/(−1) = (z−3)/2

Answer: A) (x−1)/2 = (y−2)/(−1) = (z−3)/4

Explanation: Using point-direction form, symmetric equation is (x−1)/2=(y−2)/(−1)=(z−3)/4.

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