Statement-I : Coordinates of centroid of a triangle formed by the vertices A (3, 2, 0), B…
Mathematics · Class 11 · CBSE — Introduction to Three-dimensional Geometry
Statement-I : Coordinates of centroid of a triangle formed by the vertices A(3, 2, 0), B(5, 3, 2) and
C(0, 2, 4) is \(\left(\frac{8}{3}, \frac{8}{3}, \frac{8}{3}\right)\).
Statement-II : Coordinates of centroid of a triangle with vertices A(x1, y1, z1), B(x2, y2, z2) and C(x3, y3, z3) is \(\left(\frac{x_{1}+x_{2}+x_{3}}{3}, \frac{y_{1}+y_{2}+y_{3}}{3}, \frac{z_{1}+z_{2}+z_{3}}{3}\right) .\)
C(0, 2, 4) is \(\left(\frac{8}{3}, \frac{8}{3}, \frac{8}{3}\right)\).
Statement-II : Coordinates of centroid of a triangle with vertices A(x1, y1, z1), B(x2, y2, z2) and C(x3, y3, z3) is \(\left(\frac{x_{1}+x_{2}+x_{3}}{3}, \frac{y_{1}+y_{2}+y_{3}}{3}, \frac{z_{1}+z_{2}+z_{3}}{3}\right) .\)
- If both Statement-I and Statement-II are true and Statement-II is the correct explanation of Statement-I
- If both Statement-I and Statement-II are true but Statement-II is not the correct explanation of Statement-I.
- If Statement-I is true but Statement-II is false
- If Statement-I is false and Statement-II is true.
Answer
(A) If both Statement-I and Statement-II are true and Statement-II is the correct explanation of Statement-I
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