If three points (h, 0), (a, b) and (0, k) lies on a line, show that `a/h+b/k=1`

If three points A(h,0), B(a, b) and C(0, k) lie on line, show that (a)/(h) +(b)/(k)=1 .

Three points P (h, k), Q(x_1, y_1) and R (x_2,y_2) lie on a line. Show that : (h-x_1)(y_2-y_1)= (k-y_1)(x_2-x_1) .

Find k if the points (2,-3), (k , 1) and (0,4) are collinear.

Points (3, 3), (h, 0), (0, k) are collinear and a/h+b/k=1/3 . Then :

A line passes through (x_1, y_1) and (h, k). If slope of line is m, show that k-y_1 = m (h -x_1 ) .

A line passes through (x_1, y_1) and (h,k). If slope of the line is m, show that k-y_1=m(h-x_1) .

A point R with x-coordinate 4 lies on the line segment joining the points P(2, -3, 4) and Q (8, 0, 10). Find the coordinates of the point R. [Hint Suppose R divides PQ in the ratio k :1. The coordinates of the point R are given by ((8k+2)/(k+1), (-3)/(k+1), (10k+4)/(k+1)) .

If the points a+b,a-b and a+kb be collinear, then k is equal to

If (x,y) is any point on the line joining (a,0) and (0,b), show that x/a+y/b=1

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C.