Straight Line and Pair of Straight Lines 1 Question 40

40. The points (a,b),(0,0),(a,b) and (a2,a3) are

(a) collinear

(b) vertices of a rectangle

(1979,2M)

(c) vertices of a parallelogram

(d) None of the above

Objective Questions II

(One or more than one correct option)

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Solution:

  1. The point O(0,0) is the mid-point of A(a,b) and B(a,b). Therefore, A,O,B are collinear and equation of line AOB is

y=bax

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

Hence, the four points are collinear.



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