If the lines (x - 1)/1 = (y - 2)/2 = (z + 3)/1 and (x - a)/2 = (y + 2)/3 = (z - 3)/1 intersect at the point P, then the distance of the point P from the plane z = a is:

Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 29 Jan, Evening shift · Q2461

JEE Main 202329 Jan, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the lines

{{x - 1} \over 1} = {{y - 2} \over 2} = {{z + 3} \over 1}

and

{{x - a} \over 2} = {{y + 2} \over 3} = {{z - 3} \over 1}

intersect at the point P, then the distance of the point P from the plane

z = a

is :

JEE Main 2023 · 29 Jan, Evening shift · Q2461

JEE Main 202329 Jan, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the lines

{{x - 1} \over 1} = {{y - 2} \over 2} = {{z + 3} \over 1}

and

{{x - a} \over 2} = {{y + 2} \over 3} = {{z - 3} \over 1}

intersect at the point P, then the distance of the point P from the plane

z = a

is :