The line segment joining `A (2, 3) and B(-3, 5)` is extended through each end by a length equal to its original length. Find the coordinates of the new ends.

The straight line joining the points (2,-2) and (4,6) extended each way a distance equal to half its own length.determine the coordinates of the terminal points.

Length of the line segment joining -1-i and 2+3i.

The line segment joining A(-2, 9) and B(6, 3) is a diameter of a circle with centre C. Find the coordinates of C.

The line segment joining A(6,3) to B(-1,-4) is doubled in length by having its length added to each end,then the ordinates of new ends are

The line segment joining points (2, -3) and (-4, 6) is divided by a point in the ratio 1: 2. Find the coordinates of the point.

The line joining the points A(2,0) and B(3,1) is rotated through an angle of 45^@ about A in the anticlock- wise direction The coordinates of B in the new position

In what ratio is the line segment joining the points A(-2, -3) and B(3, 7) divided by the y-axis? Also, find the coordinates of the point of division.

The line segment joining A(3, 0) and B(5, 2) is rotated about A in the anticlockwise direction through an angle of 45^0 so that B goes to C . If D is the reflection of C in y-axis, find the coordinates of D .

Find the projection of the line segment joining (2,-1,3) and (4,2,5) on a line which makes equal to acute angle with coordinate axes.