The line which passes through the origin and intersect the two lin | Filo
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Class 12

Math

3D Geometry

Three Dimensional Geometry

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The line which passes through the origin and intersect the two lines x−12=y+34=z−53,x−42=y+33=z−144, is

  1. x1=y−3=z5
  2. x−1=y3=z5
  3. x1=y3=z−5
  4. x1=y4=z−5
Correct Answer: Option(a)
Solution: [a] Let the line be xa=yb=zc            (i) If line (i) intersects with the line x−12 =y+34=z−53, Then ∣∣∣∣a24b4−3c314∣∣∣∣=0⇒9a−7b−10c=0  (ii) From (i) and (ii), we have a1=b−3=c5 ∴ The line is x1=y−3=z5
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