The vertices B and C of a triangle A B C 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 \triangle A B C is : [23 Jan 2026 Shift 1]

Three Dimensional Geometry Part 4

Section: Mathematics

Question : 7 of 73

Marks: +1, -0

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

=‌

1−y

−2

=‌

z−2

. 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 △ABC is :

[23 Jan 2026 Shift 1]

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