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-2b)/2=(y-a)/1=(z+2b)/(-5) is P, then a+b is equal to _ _.

Three Dimensional Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 23 Jan, Evening shift · Q21

JEE Main 202623 Jan, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the image of the point P

(a, 2, a)

in the line

\frac{x}{2}=\frac{y+a}{1}=\frac{z}{1}

is Q and the image of Q in the line

\frac{x-2b}{2}=\frac{y-a}{1}=\frac{z+2b}{-5}

is P, then

a+b

is equal to ____.

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