A (5, x), B (-4, 3) and C (y, -2) are th...

A (5, x), B (-4, 3) and C (y, -2) are the vertices of the triangle ABC whose centroid is the origin. Calculate the values of x and y.

Text Solution

AI Generated Solution

Topper's Solved these Questions

SECTION AND MID-POINT FORMULA
ICSE|Exercise EXERCISE 13 (C)|28 Videos
SECTION AND MID-POINT FORMULA
ICSE|Exercise QUESTIONS|17 Videos
SECTION AND MID-POINT FORMULA
ICSE|Exercise QUESTIONS|17 Videos
SAMPLE PAPER 5 (MATHEMATICS)
ICSE|Exercise SECTION C|8 Videos
SHARES AND DIVIDENDS
ICSE|Exercise Exercise 3(C )|20 Videos

Similar Questions

Explore conceptually related problems

A(-4, 4), B(x, -1) and C(6,y) are the vetices of DeltaABC . If the centroid of this triangle ABC is at the origin, find the values of x and y.

A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle. Find the coordinates of the centroid G of the triangle.

A(3, 1), B(y, 4) and C(1, x) are vertices of triangle ABC and G(3, 4) is its centroid. Find the values of x and y. Also, find the length of side BC.

A (1, 4), B (3, 2) and C (7,5) are vertices of a triangle ABC. Find : the co-ordinates of the centroid of triangle ABC.

A(3,2)a n dB(-2,1) are two vertices of a triangle ABC whose centroid G has the coordinates (5/3,-1/3)dot Find the coordinates of the third vertex C of the triangle.

find the third vertex of triangle whose centroid is origin and two vertices are (2,4,6) and (0,-2,5)

Let A (2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on line 2x + 3y = 1, then the locus of the vertex C is the line :

A (1, 4), B (3, 2) and C (7,5) are vertices of a triangle ABC. Find : the equation of a line, through the centroid and parallel to AB.

Find the vertices of the triangle whose sides are y+2x=3, 4y+x=5 and 5y+3x=0

A (4,8), B(-2,6) are two vertices of a triangle ABC. Find the coordinates of C if the centroid of the triangle is (2,7).

ICSE-SECTION AND MID-POINT FORMULA-EXERCISE 13 (B)

Find the mid-point of the line segment joining the points : (-6, 7)...
Text Solution
|
Find the mid-point of the line segment joining the points : (5, -3) ...
Text Solution
|
Points A and B have co-ordinates (3, 5) and (x, y) respectively. The m...
Text Solution
|
A (5, 3), B (-1, 1) and C (7, -3) are the vertices of triangle ABC. If...
Text Solution
|
Given M is the mid-point of AB, find the co-ordinates of: A, if M = ...
Text Solution
|
Given M is the mid-point of AB, find the co-ordinates of: B, if A =...
Text Solution
|
P (-3, 2) is the mid point of line segment AB as shown in the given fi...
Text Solution
|
In the given figure, P (4, 2) is mid-point of line segment AB. Find th...
Text Solution
|
(-5, 2), (3, -6) and (7, 4) are the vertices of a triangle. Find the l...
Text Solution
|
Given a line ABCD in which AB = BC = CD, B = (0, 3) and C = (1, 8). Fi...
Text Solution
|
One end of the diameter of a circle is (-2, 5). Find the co-ordinates ...
Text Solution
|
A (2, 5), B (1, 0), C (-4, 3) and D (-3, 8) are the vertices of quadri...
Text Solution
|
P (4, 2) and Q (-1, 5) are the vertices of parallelogram PQRS and (-3,...
Text Solution
|
A (-1, 0), B (1, 3) and D (3, 5) are the vertices of a parallelogram A...
Text Solution
|
The points (2, -1), (-1, 4) and (-2, 2) are mid-points of the sides of...
Text Solution
|
Points A (-5, x), B (y, 7) and C (1, -3) are collinear (i.e. lie on th...
Text Solution
|
Points P (a, -4), Q (-2, b) and R (0, 2) are collinear. If lies betwee...
Text Solution
|
Calculate the co-ordinates of the centroid of the triangle ABC, if A =...
Text Solution
|
he co-ordinates of the centroid of a triangle PQR are (2, -5). If Q = ...
Text Solution
|
A (5, x), B (-4, 3) and C (y, -2) are the vertices of the triangle ABC...
Text Solution
|