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 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

Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by (i) x-axis (ii) y-axis. Also, find the coordinates of the point of division in each case.

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.

Find the ratio in which the line segment having the end points A(-1, -3, 4) and B(4, 2, -1) is divided by the xz- plane. Also, find the coordinates of the point of division.

Given a line segment AB joining the points A (-4, 6) and B (8, -3). Find : (iii) the length of AB.

Find the ratio in which the line segment joining the points A(3,\ -3) and B(-2,\ 7) is divided by x-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 .

If the length of the projection of the line segment joining the points (1, 2, -1) and (3, 5, 5) on the plane 3x-4y+12z=5 is equal to d units, then the value of 169d^(2) equal to

If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in the ratio 3 : 1 , then find the values of a and b.

The length of the segment joining the points with coordinates (-2,4) and (3,-5) is