Advertisements
Advertisements
प्रश्न
Find the centroid of the triangle whose vertices is (−2, 3) (2, −1) (4, 0) .
Advertisements
उत्तर
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))`
APPEARS IN
संबंधित प्रश्न
Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a right-angled isosceles triangle.
If A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence find the lengths of its sides
If G be the centroid of a triangle ABC, prove that:
AB2 + BC2 + CA2 = 3 (GA2 + GB2 + GC2)
Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (-2, -1), (1, 0), (4, 3) and(1, 2) meet
The midpoint of the line segment joining A (2a, 4) and B (-2, 3b) is C (1, 2a+1). Find the values of a and b.
In what ratio does the point P(2,5) divide the join of A (8,2) and B(-6, 9)?
The base QR of a n equilateral triangle PQR lies on x-axis. The coordinates of the point Q are (-4, 0) and origin is the midpoint of the base. Find the coordinates of the points P and R.
The midpoint P of the line segment joining points A(-10, 4) and B(-2, 0) lies on the line segment joining the points C(-9, -4) and D(-4, y). Find the ratio in which P divides CD. Also, find the value of y.
Find the area of quadrilateral ABCD whose vertices are A(-3, -1), B(-2,-4) C(4,-1) and D(3,4)
Find the centroid of ΔABC whose vertices are A(2,2) , B (-4,-4) and C (5,-8).
The abscissa of a point is positive in the
If the mid-point of the segment joining A (x, y + 1) and B (x + 1, y + 2) is C \[\left( \frac{3}{2}, \frac{5}{2} \right)\] , find x, y.
Write the coordinates the reflections of points (3, 5) in X and Y -axes.
A line intersects the y-axis and x-axis at P and Q , respectively. If (2,-5) is the mid-point of PQ, then the coordinates of P and Q are, respectively
What is the form of co-ordinates of a point on the X-axis?

In the above figure, seg PA, seg QB and RC are perpendicular to seg AC. From the information given in the figure, prove that: `1/x + 1/y = 1/z`
The points (–5, 2) and (2, –5) lie in the ______.
The point whose ordinate is 4 and which lies on y-axis is ______.
Points (1, –1) and (–1, 1) lie in the same quadrant.
