The plane ax + by + cz = 1 meets the co-ordinate axes in A, B and C. The centroid of the…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
The plane ax + by + cz = 1 meets the co-ordinate axes in A, B and C. The centroid of the triangle is :
- (3a, 3b, 3c)
- \(\left(\frac{\mathrm{a}}{3}, \frac{\mathrm{~b}}{3}, \frac{\mathrm{c}}{3}\right)\)
- \(\left(\frac{3}{\mathrm{a}}, \frac{3}{\mathrm{~b}}, \frac{3}{\mathrm{c}}\right)\)
- \(\left(\frac{1}{3 \mathrm{a}}, \frac{1}{3 \mathrm{~b}}, \frac{1}{3 \mathrm{c}}\right)\)
Answer
(D) ( 1 3 a , 1 3 ~b , 1 3 c )
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