Question

The points (-a,- b ),(0,0),(a,b) and (a2,ab) are

(a) collinear

(b) vertices of a rectangle

(c) vertices of a parallelogram

(d) of the above

Answer 1

Correct option: (a) collinear

Explanation:

The point O(0,0) is the mid point of A(-a,-b) and B(a, b)

Therefore, A, O, B are collinear and isequation of line AOB

y = b/a x

Since, the fourth point D (a2, ab) satisfies the above equation.

Hence, the four points are collinear.