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JEE Main20248 Apr 2024Morning ShiftMathematicsThree Dimensional GeometryActual

If the shortest distance between the lines array ll L₁: r =(2+ ) i +(1-3 ) j +(3+4 ) k , & R L₂: r =2(1+ ) i +3(1+ ) j +(5+ ) k , R array is m n , where gcd (m, n)=1 , then the value of m+n equals

Options

  1. A390
  2. B384
  3. C377
  4. D387

Correct answer

D. 387

Step-by-step solution

Shortes distance (CD) = | AB p q | p q | | aligned & = | (0 i +2 j +2 k ) (-15 i +7 j +9 k ) 355 | & = 0+14+18 355 = 32 355 & m + n =32+355=387 aligned

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