JEE Main20248 Apr 2024Evening ShiftMathematicsThree Dimensional GeometryActual

Let P ( , , ) be the image of the point Q (1,6,4) in the line x 1 = y-1 2 = z-2 3 . Then 2 + + is equal to_______

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aligned & A ( t , 2 t +1,3 t +2) & QA =( t -1) i +(2 t -5) j +(3 t -2) k & QA b =0 & ( t -1)+2(2 t -5)+3(3 t -2)=0 & 14 t =17 & = 20 14 = 12 14 = 102 14 & 2 + + = 154 14 =11 aligned

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