Mathematics
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.
Related Questions
The line segment joining A(4, 7) and B(-6, -2) is intercepted by the y-axis at the point K. Write down the abscissa of the point K. Hence, find the ratio in which K divides AB. Also, find the co-ordinates of the point K.
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.
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) The coordinates of the point of intersection.
(iii) The length of AB.
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.