Let the point A be the foot of perpendicular drawn from the point P(a, b, 0) on the line (x-1)/2=(y-2)/1=(z-α)/3. If the midpoint of the line segment PA is (0, 3/4, (-1)/4), then the value of a²+b²+α² is equal to:

Three Dimensional Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 2 Apr, Evening shift · Q15

JEE Main 20262 Apr, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let the point A be the foot of perpendicular drawn from the point

P(a, b, 0)

on the line

\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-\alpha}{3}

. If the midpoint of the line segment PA is

\left(0, \frac{3}{4}, \frac{-1}{4}\right)

, then the value of

a^2+b^2+\alpha^2

is equal to :