Advertisements
Advertisements
Question
Find the coordinates of midpoint of the segment joining the points (22, 20) and (0, 16).
Solution
Let the given points be A(22, 20) and B(0, 16).
Let the coordinate of the midpoint be (x, y).
Using the midpoint formula
\[x = \frac{22 + 0}{2}\]
\[\Rightarrow 2x = 22\]
\[\Rightarrow x = 11\]
\[y = \frac{20 + 16}{2}\]
\[\Rightarrow 2y = 36\]
\[\Rightarrow y = 18\]
(x, y) = (11, 18)
APPEARS IN
RELATED QUESTIONS
Given M is the mid-point of AB, find the co-ordinates of B; if A = (3, –1) and M = (–1, 3).
In the given figure, P(4, 2) is mid-point of line segment AB. Find the co-ordinates of A and B.
(–5, 2), (3, −6) and (7, 4) are the vertices of a triangle. Find the length of its median through the vertex (3, −6).
Calculate the co-ordinates of the centroid of the triangle ABC, if A = (7, –2), B = (0, 1) and C =(–1, 4).
Complete the table below the graph with the help of the following graph.
Sr. No. | First point | Second point | Co-ordinates of first point (x1 , y1) | Co-ordinates of second point (x2 , y2) | `(y_2 - y_2)/(x_2 - x_2)` |
1 | C | E | (1, 0) | (3,4) | `4/2=2` |
2 | A | B | (-1,-4) | (0,-2) | `2/1 = 2` |
3 | B | D | (0,-2) | (2,2) | `4/2=2` |
Find the midpoint of the line segment joining the following pair of point :
( -3, 5) and (9, -9)
Find the midpoint of the line segment joining the following pair of point :
( a+3, 5b), (3a-1, 3b +4).
P( -2, 5), Q(3, 6 ), R( -4, 3) and S(-9, 2) are the vertices of a quadrilateral. Find the coordinates of the midpoints of the diagonals PR and QS. Give a special name to the quadrilateral.
Find the length of the median through the vertex A of triangle ABC whose vertices are A (7, -3), B(S, 3) and C(3, -1).
A triangle is formed by line segments joining the points (5, 1 ), (3, 4) and (1, 1). Find the coordinates of the centroid.
Let A(-a, 0), B(0, a) and C(α , β) be the vertices of the L1 ABC and G be its centroid . Prove that
GA2 + GB2 + GC2 = `1/3` (AB2 + BC2 + CA2)
A lies on the x - axis amd B lies on the y -axis . The midpoint of the line segment AB is (4 , -3). Find the coordinates of A and B .
The mid point of the line segment joining the points (p, 2) and (3, 6) is (2, q). Find the numerical values of a and b.
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.
The centre ‘O’ of a circle has the coordinates (4, 5) and one point on the circumference is (8, 10). Find the coordinates of the other end of the diameter of the circle through this point.
The coordinates of the point C dividing the line segment joining the points P(2, 4) and Q(5, 7) internally in the ratio 2 : 1 is
In what ratio does the y-axis divides the line joining the points (−5, 1) and (2, 3) internally
If (1, −2), (3, 6), (x, 10) and (3, 2) are the vertices of the parallelogram taken in order, then the value of x is
Point P is midpoint of segment AB where A(– 4, 2) and B(6, 2), then the coordinates of P are ______