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3D Geometry question

2019 · Shift 1 · Q35

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2019 · Shift 1 · Q35

3D Geometry question

2019 · Shift 1 · Q35

JEE AdvancedMathematics3D GeometryNumerical+3 / −1

Three lines are given by

r = \lambda \widehat i,\,\lambda \in R

,

r = \mu (\widehat i + \widehat j),\,\mu \in R

and

r = v(\widehat i + \widehat j + \widehat k),\,v\, \in R

Let the lines cut the plane x + y + z = 1 at the points A, B and C respectively. If the area of the triangle ABC is

\Delta

then the value of (6

\Delta

)2 equals ..............

Numerical answer

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