JEE Main20245 Apr 2024Morning ShiftMathematicsThree Dimensional GeometryActual

If the line 2-x 3 = 3 y-2 4 +1 =4-z makes a right angle with the line x+3 3 = 1-2 y 6 = 5-z 7 , then 4 +9 is equal to :

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Correct answer

D. 6

Step-by-step solution

2-x 3 = 3 y-2 4 +1 =4-z...(1) x-2 (-3) = y- 2 3 ( 4 +1 3 ) = z-4 (-1) aligned & x+3 3 = 1-2 y 6 = 5-z 7 ...(2) & x+3 3 = y- 1 2 (-3) = z-5 (-7) & Right angle (-3)(3 )+ ( 4 +1 3 )(-3)+(-1)(-7)=0 & -9 -4 -1+7=0 & 4 +9 =6 aligned

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