If `(x, y), (a, 0), (0, b)` are collinear, then using determinants prove that `x/a + y/b = 1` .

If points (a,0),(0,b) and (x,y) are collinear, using the concept of slope prove that (x)/(a)+(y)/(b)=1

If the points (0,0),(1,2) and (x,y) are collinear then :

Three points A(x_1 , y_1), B (x_2, y_2) and C(x, y) are collinear. Prove that: (x-x_1) (y_2 - y_1) = (x_2 - x_1) (y-y_1) .

If (x,y) be any point on the line segment joinijng the points (a,0)and (0,b) then prove that x/b+y/b=1.

If the points A(x,y),B(3,6) and C(-3,4) are collinear,show that x-3y+15=0

If x lt y and b (y)/(b). Prove It.

Prove that the points A(a, 0), B(0, b) and C(1, 1) are collinear, if (1)/(a) + (1)/(b) = 1.

A point (x,y) in the first quadrant lies on a line with intercepts (a,0) and (0,b) where a,b>0 .Rectangle M has vertices (0,0) , (x,0) , (x,y) and (0,y) while rectangle N has vertices (x,y) , (x,b) , (a,b) and (a,y) .The ratio of the area of M to that of N is 1) 1 2) 2 3) (1)/(2) 4) dependent on the value of a,b,x and y