Q14 of 184 Page 10

Show that the point (a, 0), (0, b) and (1, 1) are collinear if

Given: (a, 0), (0, b) and (1, 1)


We know the points are collinear if area(∆ABC)=0


Area of triangle


Then, Area



ab – a – b = 0


ab = a + b


Since,



Then, a + b = ab



Hence, Proved.


More from this chapter

All 184 →
12

If the points (x1y1), (x2, y2) and (x3, y3) be collinear, show that

 13

If the points (a, b), (a1, b1) and (a-a1, b-b1) are collinear, show that

15

Find the values of x if the points (2x, 2x), (3, 2x+1) and (1, 0) are collinear.

 15

Find the value of K if the points A(2, 3), B(4, k) and C(6, -3) are collinear.