JEE Main202623 January 2026Evening ShiftMathematicsThree Dimensional GeometryActual

If the image of the point P (a, 2, a) in the line x 2 = y+a 1 = z 1 is Q and the image of Q in the line x-2 b 2 = y-a 1 = z+2 b -5 is P, then a+b is equal to _ _ _ _ .

Correct answer

Step-by-step solution

Now, 2 - a + a 2 = -5 - 2b and a + 4 - a 2 = 2 + 2b and 2 - 2a - 2 + 2 2 = + a - = b - = 2a + 5 = -2b b = 2a and = a , = -a (a i - 2 j + 0 k ) (2 i + j + k ) = 0 2a - 2 = 0 a = 1 b = 2a = 2 1 = 2 a + b = 1 + 2 = 3

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