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AP EAMCET · Maths · Three Dimensional Geometry

The line passing through (1,1,-1) and parallel to the vector i^+2j^-k^ meets the line x-3-1=y+25=z-2-4 at A and the plane 2x-y+2z+7=0 at B. Then AB=

  1. A 6
  2. B 26
  3. C 36
  4. D 46
Verified Solution

Answer & Solution

Correct Answer

(B) 26

Step-by-step Solution

Detailed explanation

The line passing through (1,1,-1) and parallel to the vector i^+2j^-k^ , will be, x-11=y-12=z+1-1=k (let) So, x=k+1 , y=2k+1 , z=-k-1 To find the point of intersection of x-11=y-12=z+1-1 and x-3-1=y+25=z-2-4 , A, put the values of x, y, z in…