Mathematics
Given a line segment AB joining the points A(-4, 6) and B(8, -3). Find :
(i) the ratio in which AB is divided by the y-axis.
(ii) find the co-ordinates of the point of intersection.
(iii) the length of AB.
Related Questions
The line joining P(-4, 5) and Q(3, 2) intersects the y-axis at point R. PM and QN are perpendiculars from P and Q on the x-axis. Find :
(i) the ratio PR : RQ.
(ii) the co-ordinates of R.
(iii) the area of the quadrilateral PMNQ.
In the given figure, line APB meets the x-axis at point A and y-axis at point B. P is the point (-4, 2) and AP : PB = 1 : 2. Find the co-ordinates of A and B.
If P(-b, 9a - 2) divides the line segment joining the points A(-3, 3a + 1) and B(5, 8a) in the ratio 3 : 1, find the values of a and b.
Point A(3, 4) is the center of a circle. If one of its diameters has one end as (7, 8); the other end of this diameter is :
(1, 0)
(0, 1)
(-1, 0)
(0, -1)