Q10 of 184 Page 10

use distance formula to show that the points (cosec2θ, 0), (0, sec2θ) and (1, 1) are collinear.

Given points are A(cosec2θ, 0), B(0, sec2θ ) and C(1, 1).



We need to check whether these points are collinear.


We know that for three points A, B and C to be collinear, the criteria to be satisfied is AB = AC + BC.


Let us find the distances first,


We know that distance between two points (x1, y1) and (x2, y2) is







..... (1)







.... - (2)


⇒


⇒


⇒ ..... (3)


Now,






⇒ AC + BC = AB


∴ The three points are collinear.


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