Advertisements
Advertisements
प्रश्न
The coordinates of the centroid I of triangle PQR are (2, 5). If Q = (-6, 5) and R = (7, 8). Calculate the coordinates of vertex P.
उत्तर
Let G be the centroid of Δ PQR whose coordinates are (2 , 5) and let (x , y) be the coordinates of vertex P.
Coordinates of G are ,
G (2 , 5) = G `(("x" - 6 + 7)/3 , ("y" + 5 + 8)/3)`
`2 = ("x" + 1)/3 , 5 = ("y" + 13)/3`
6 = x + 1 , 15 = y + 13
x = 5 , y =2
coordinates of vertex P are (5 , 2)
APPEARS IN
संबंधित प्रश्न
Given M is the mid-point of AB, find the co-ordinates of B; if A = (3, –1) and M = (–1, 3).
The points (2, –1), (–1, 4) and (–2, 2) are mid-points of the sides of a triangle. Find its vertices.
The co-ordinates of the centroid of a triangle PQR are (2, –5). If Q = (–6, 5) and R = (11, 8); calculate the co-ordinates of vertex P.
Find the coordinates of point P if P divides the line segment joining the points A(–1, 7) and B(4, –3) in the ratio 2 : 3.
Find the midpoint of the line segment joining the following pair of point :
(4,7) and (10,15)
A(6, -2), B(3, -2) and C(S, 6) are the three vertices of a parallelogram ABCD. Find the coordinates of the fourth vertex c.
If the midpoints of the sides ofa triangle are (-2, 3), (4, -3), (4, 5), find its vertices.
The mid-point of the line segment joining A (- 2 , 0) and B (x , y) is P (6 , 3). Find the coordinates of B.
The three vertices of a parallelogram taken in order are (-1, 0), (3, 1) and (2, 2) respectively. Find the coordinates of the fourth vertex.
If (1, −2), (3, 6), (x, 10) and (3, 2) are the vertices of the parallelogram taken in order, then the value of x is
