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MHT CET20228 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

The line x-1 3 = y+1 2 = z-1 5 and x+2 4 = y-1 3 = z+1 -2

Options

  1. Aintersect each other and point of intersection is (4,3,-2) .
  2. Bdo not intersect.
  3. Cintersect each other and point of intersection is (3,2,5) .
  4. Dintersect each other and point of intersection is (-2,-1,-1)

Correct answer

B. do not intersect.

Step-by-step solution

aligned & S.D. = | | array ccc 1+2 & -1-1 & 1+1 3 & 2 & 5 4 & 3 & -2 array | (-4-15)^2+(20+6)^2+(9-8)^2 | & = | 3(-4-15)-2(20+6)+2(9-8) 19^2+26^2+1^2 | & = |-57-52+2| 361+676+1 = 107 1039 0 aligned Hence, the two lines do not intersect each other.

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