Triangle Area from Vertices and Line (Jee Mains)

3D Plane Equations

Medium

Triangle Area from Vertices and Line

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

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