Advertisements
Advertisements
प्रश्न
If the vertices of a triangle are (1, 3), (2, - 4) and (-3, 1). Then the co-ordinate of its centroid is:
विकल्प
(0, 0)
(0, 1)
(1, 0)
(1, 1)
उत्तर
(0, 0)
Explanation:
The vertices of a triangle are (1, 3), (2, - 4) and (-3, 1).
x1 = 1, x2 = 2, x3 = -3, y1 = 3, y2 = -4, y3 = 1.
Centroid formula of a given triangle
C = `((x_1 + x_2 + x_3)/3, (y_1 + y_2 + y_3)/3)`
C = `((1 + 2 - 3)/3 , (3 - 4 + 1)/3)`
C = `(0/3 , 0/3)`
C = (0, 0).
APPEARS IN
संबंधित प्रश्न
Find the mid-point of the line segment joining the points:
(5, –3) and (–1, 7)
In the given figure, P(4, 2) is mid-point of line segment AB. Find the co-ordinates of A and B.
M is the mid-point of the line segment joining the points A(–3, 7) and B(9, –1). Find the coordinates of point M. Further, if R(2, 2) divides the line segment joining M and the origin in the ratio p : q, find the ratio p : q.
In the following example find the co-ordinate of point A which divides segment PQ in the ratio a : b.
P(–2, –5), Q(4, 3), a : b = 3 : 4
Point P is the midpoint of seg AB. If co-ordinates of A and B are (-4, 2) and (6, 2) respectively then find the co-ordinates of point P.
(A) (-1,2) (B) (1,2) (C) (1,-2) (D) (-1,-2)
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.
A( 4, 2), B(-2, -6) and C(l, 1) are the vertices of triangle ABC. Find its centroid and the length of the median through C.
Two vertices of a triangle are ( -1, 4) and (5, 2). If the centroid is (0, 3), find the third vertex.
AB is a diameter of a circle with centre 0. If the ooordinates of A and 0 are ( 1, 4) and (3, 6 ). Find the ooordinates of B and the length of the diameter.
Point M (2, b) is the mid-point of the line segment joining points P (a, 7) and Q (6, 5). Find the values of ‘a’ and ‘b’.