Advertisements
Advertisements
Question
Find the coordinates of the midpoints of the line segment joining
A(3,0) and B(-5, 4)
Solution
The given points are A(3,0) and B(-5, 4)
Let ( x,y) be the midpoint of AB. Then :
` x= (x_1 +x_2)/2 , y = (y_1+y_2)/2`
` ⇒ x = (3+(-5))/2 , y = (0+4) /2 `
`⇒ x =(-2)/2 , y = 4/2 `
⇒ x = -1 , y=2
Therefore, (-1,2) are the coordinates of midpoint of AB.
APPEARS IN
RELATED QUESTIONS
On which axis do the following points lie?
S(0,5)
Prove that the points (−2, 5), (0, 1) and (2, −3) are collinear.
If (−2, 3), (4, −3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates of its centroid.
Find the points of trisection of the line segment joining the points:
(2, -2) and (-7, 4).
Find the points on the x-axis, each of which is at a distance of 10 units from the point A(11, –8).
If the point A (4,3) and B ( x,5) lies on a circle with the centre o (2,3) . Find the value of x.
Find the area of quadrilateral PQRS whose vertices are P(-5, -3), Q(-4,-6),R(2, -3) and S(1,2).
Show that A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are the vertices of a
rhombus ABCD.
The area of the triangle formed by the points A(2,0) B(6,0) and C(4,6) is
Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.
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.
What is the distance between the points A (c, 0) and B (0, −c)?
If the distance between the points (3, 0) and (0, y) is 5 units and y is positive. then what is the value of y?
If P (2, p) is the mid-point of the line segment joining the points A (6, −5) and B (−2, 11). find the value of p.
If the centroid of a triangle is (1, 4) and two of its vertices are (4, −3) and (−9, 7), then the area of the triangle is
The length of a line segment joining A (2, −3) and B is 10 units. If the abscissa of B is 10 units, then its ordinates can be
Students of a school are standing in rows and columns in their playground for a drill practice. A, B, C and D are the positions of four students as shown in figure. Is it possible to place Jaspal in the drill in such a way that he is equidistant from each of the four students A, B, C and D? If so, what should be his position?
Which of the points P(0, 3), Q(1, 0), R(0, –1), S(–5, 0), T(1, 2) do not lie on the x-axis?
Co-ordinates of origin are ______.
