imo class 12 three dimensional geometry

The coordinates of the point where the line (x+1)/2 = (y+2)/3 = (z+3)/4 intersects the yz-plane is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The coordinates of the point where the line (x+1)/2 = (y+2)/3 = (z+3)/4 intersects the yz-plane is:

  • A. (0, −1/2, 1)
  • B. (0, 1/2, −1)
  • C. (0, −1/2, −1)
  • D. (0, 1, 2)

Answer: C) (0, −1/2, −1)

Explanation: For the yz-plane, x = 0. So, (0+1)/2 = 1/2. Thus, (y+2)/3 = 1/2 → y = −1/2. And (z+3)/4 = 1/2 → z = −1. Point is (0, −1/2, −1).

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