Question

If the points A(1, 0), B(0, a
2
) and C(0,
b
2
) are collinear, then :

(a) a = b (b) a = 2b (c) 2a = b (d) a = –b

Answer 1

Answer:

if point A,B and C are collinear then these points will make a straight line. For a line area of triangle is 0.

area=0

1/2[1(a/2-b/2)-0(b/2-0)+0(0-a/2)]=0

a/2-b/2=0

a=b

option a is correct