The vertices B and C of a triangle ABC lie on the line x/1=(1-y)/(-2)=(z-2)/3. The coordinates of A and B are (1, 6, 3) and (4, 9, α) respectively and C is at a distance of 10 units from B. The area (in sq. units) of Δ ABC is:

Three Dimensional Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 23 Jan, Morning shift · Q3

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

The vertices B and C of a triangle ABC lie on the line

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

. The coordinates of A and B are

(1, 6, 3)

and

(4, 9, \alpha)

respectively and C is at a distance of 10 units from B. The area (in sq. units) of

\Delta ABC

is :