Home
Class 10
MATHS
The co-ordinates of the mid-point of lin...

The co-ordinates of the mid-point of line joining the points A and B are (2, -3). If the co-ordinates of point A are (-3, 4), then find the co- ordinates of point B.

Text Solution

AI Generated Solution

To find the coordinates of point B given the midpoint and the coordinates of point A, we can follow these steps: ### Step 1: Understand the Midpoint Formula The midpoint \( M(x_m, y_m) \) of a line segment joining two points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) is given by the formula: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] In this case, we know the midpoint \( M \) is (2, -3) and the coordinates of point A are (-3, 4). ...
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Examples|8 Videos
  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems Of NCERT/exemplar|14 Videos
  • CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|2 Videos
  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|10 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinates of the mid-point of the line segment joining the points A(3, -5) and B(1, 1) .

Find the co-ordinates of the mid point of the line segment joining the points P (4, -6) and (-2, 4).

The ordinate of a point lying on the line joining the points (6, 4) and (7, -5) is -23. Find the co-ordinates of that point.

Find the co-ordinates of the points fo trisection of the line joining the points (3,-2) and (-3, -4).

Find the co-ordinates of the points of tri section of the line joining the points (-3, 0) and (6, 6).

The co-ordinates of the end points of the latus rectum of a parabola are (3,6) and (-5,6). The co-ordinates of its focus are :

M is the mid-point of the line segment joining the points A(-3, 7) and B(9, -1). Find the co-ordinates of point M. Further, if R(2, 2) divides the line segment joining M and the origin in the ratio p : q, find the ratio p : q.

Find the co-ordinates of that point at which the line joining the points (-2,1,4) and (2,0,3) meets the yz- plane.

The co-ordinates of two points A and B are (-3, 4) and (2, -1). Find : the co-ordinates of the point where the line AB intersects the y-axis.

Find the co-ordinates of the points of trisection of the line segment joining the points A(-5, 6) and B (4, -3) .