Home › CBSE Class 11 (Commerce) › Mathematics › Introduction to Three-dimensional Geometry › The origin is the centroid of P(2a,2,6), Q(-4,3b…
The origin is the centroid of P(2a,2,6), Q(-4,3b,-10), R(8,14,2c). Find a.
A2
B-4
C-2
D4
Answer & Solution
Correct answer: C. -2
The x-coordinates sum to 2a - 4 + 8 = 0, so a = -2.
Related questions
Geometry was first extended beyond three dimensions around which time?Who introduced the three coordinate planes now in use, in a 1715 letter to Leibnitz?Which mathematician took up three dimensional coordinate geometry systematically in 1748?Who first gave a systematic development of analytical solid geometry in 1700?Who is called the father of analytical geometry?Two points differ only in z: (1, 2, 3) and (1, 2, 7). Their distance isThe plane determined by the x-axis and y-axis together is called theGiven P(2, 4, 5), the foot F of P on the ZX-plane has coordinates