Let a, b R. If the mirror image of the point P(a, 6, 9) with respect to the line (x - 3)/7 = (y - 2)/5 = (z - 1)/(- 9) is (20, b, - a - 9), then | a + b |, is equal to:

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Evening shift · Q2494

JEE Main 202124 Feb, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let a, b

\in

R. If the mirror image of the point P(a, 6, 9) with respect to the line

{{x - 3} \over 7} = {{y - 2} \over 5} = {{z - 1} \over { - 9}}

is (20, b,

-

-

9), then | a + b |, is equal to :