Advertisements
Advertisements
प्रश्न
Find the coordinates of the midpoints of the line segment joining
A(3,0) and B(-5, 4)
Advertisements
उत्तर
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
संबंधित प्रश्न
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
On which axis do the following points lie?
R(−4,0)
Find a point on y-axis which is equidistant from the points (5, -2) and (-3, 2).
Three consecutive vertices of a parallelogram are (-2,-1), (1, 0) and (4, 3). Find the fourth vertex.
Find the ratio in which the point (2, y) divides the line segment joining the points A (-2,2) and B (3, 7). Also, find the value of y.
If the point A(0,2) is equidistant from the points B(3,p) and C(p, 5), find p.
Prove that the diagonals of a rectangle ABCD with vertices A(2,-1), B(5,-1) C(5,6) and D(2,6) are equal and bisect each other
In what ratio does the point C (4,5) divides the join of A (2,3) and B (7,8) ?
Show that A (−3, 2), B (−5, −5), C (2,−3), and D (4, 4) are the vertices of a rhombus.
ABCD is a parallelogram with vertices \[A ( x_1 , y_1 ), B \left( x_2 , y_2 \right), C ( x_3 , y_3 )\] . Find the coordinates of the fourth vertex D in terms of \[x_1 , x_2 , x_3 , y_1 , y_2 \text{ and } y_3\]
Find the area of triangle with vertices ( a, b+c) , (b, c+a) and (c, a+b).
If the points A (1,2) , O (0,0) and C (a,b) are collinear , then find a : b.
Find the coordinates of the point which is equidistant from the three vertices A (\[2x, 0) O (0, 0) \text{ and } B(0, 2y) of ∆\] AOB .
The line segment joining points (−3, −4), and (1, −2) is divided by y-axis in the ratio.
The ratio in which (4, 5) divides the join of (2, 3) and (7, 8) 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
If the line segment joining the points (3, −4), and (1, 2) is trisected at points P (a, −2) and Q \[\left( \frac{5}{3}, b \right)\] , Then,
Any point on the line y = x is of the form ______.
The coordinates of the point where the line 2y = 4x + 5 crosses x-axis is ______.
