A plane meets the coordinate axes in A, B, C and (α,β,γ) is the centroid of the triangle…

Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry

1. \(\frac{\mathrm{x}}{\alpha}+\frac{\mathrm{y}}{\beta}+\frac{\mathrm{z}}{\gamma}=3\)
2. \(\frac{x}{\alpha}+\frac{y}{\beta}+\frac{z}{\gamma}=1\)
3. \(\frac{3 x}{\alpha}+\frac{3 y}{\beta}+\frac{3 z}{\gamma}=1\)
4. αx + βy+ γz = 1

Answer

(A) x + y + z =3

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