English

Find the centroid of the triangle whose vertices  is (−2, 3) (2, −1) (4, 0) . - Mathematics

Advertisements
Advertisements

Question

Find the centroid of the triangle whose vertices  is (−2, 3) (2, −1) (4, 0) .

Answer in Brief

Solution

The co-ordinates of the centroid of a triangle whose vertices are (−2, 3); (2,−1); (4, 0) are-

`=((2-2+4)/3 , (3-1+0)/3)`

` = ((4/3,2/3))`

 

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Co-Ordinate Geometry - Exercise 6.4 [Page 37]

APPEARS IN

RD Sharma Mathematics [English] Class 10
Chapter 6 Co-Ordinate Geometry
Exercise 6.4 | Q 1.2 | Page 37

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

On which axis do the following points lie?

R(−4,0)


In Fig. 14.36, a right triangle BOA is given C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O, A  and B. 

    

We have a right angled triangle,`triangle BOA`  right angled at O. Co-ordinates are B (0,2b); A (2a0) and C (0, 0).

 

 

 


Find the points of trisection of the line segment joining the points:

(3, -2) and (-3, -4)


Prove that (4, 3), (6, 4) (5, 6) and (3, 5)  are the angular points of a square.


Find the co-ordinates of the point equidistant from three given points A(5,3), B(5, -5) and C(1,- 5).


In what ratio is the line segment joining the points A(-2, -3) and B(3,7) divided by the yaxis? Also, find the coordinates of the point of division.


In what ratio does the line x - y - 2 = 0 divide the line segment joining the points A (3, 1) and B (8, 9)? 


If the points P (a,-11) , Q (5,b) ,R (2,15)  and S (1,1). are the vertices of a parallelogram PQRS, find the values of a and b.


Find the coordinates of the centre of the circle passing through the points P(6, –6), Q(3, –7) and R (3, 3).


If `P(a/2,4)`is the mid-point of the line-segment joining the points A (−6, 5) and B(−2, 3), then the value of a is


If A(−3, 5), B(−2, −7), C(1, −8) and D(6, 3) are the vertices of a quadrilateral ABCD, find its area.


Find the value of k, if the points A(7, −2), B (5, 1) and (3, 2k) are collinear.

 

If the points P (xy) is equidistant from A (5, 1) and B (−1, 5), then


What is the form of co-ordinates of a point on the X-axis?


What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?


If point P is midpoint of segment joining point A(– 4, 2) and point B(6, 2), then the coordinates of P are ______


What are the coordinates of origin?


Find the coordinates of the point whose ordinate is – 4 and which lies on y-axis.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×