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JEE Main20244 Apr 2024Evening ShiftMathematicsThree Dimensional GeometryActual

Consider a line L passing through the points P (1,2,1) and Q (2,1,-1) . If the mirror image of the point A (2,2,2) in the line L is ( , , ) , then + +6 is equal to _______

Correct answer

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Step-by-step solution

DR's of Line L -1: 1: 2 DR's of AB -2: -2: -2 aligned & AB _ ar L 2- + -2+2 -4=0 & 2 + - =4 aligned Let C is mid-point of A B aligned & C ( +2 2 , +2 2 , +2 2 ) & DR's of PC = 2 : -2 2 : 2 & line L , PC - 2 = -2 2 = 4 = K ( let) . aligned aligned & =-2 ~K & =2 ~K +2 & =4 ~K aligned use in (1) K= 1 6 value of + +6 =24 ~K +2=6

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