Q3 of 49 Page 167

Verify whether the points (1, 5), (2, 3) and (-2, -1) are collinear or not.

let A = (1,5) B = (2,3) and c = (-2,-1)

⇒ AB =


=


AB =


⇒ BC =


BC =


⇒ AC =


=


AC =


⇒ AB + BC is not equal to AC.


∴ Points are not collinear


More from this chapter

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1

Find the distance between the following pair of points

(a, b) and (-a, -b)

 2

Find the distance between the points (0, 0) and (36, 15).

 4

Check whether (5, -2), (6, 4) and (7, 2) are the vertices of an isosceles triangle.

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In a class room, 4 friends are seated at the points A, B, C and D as shown in Figure. Jarina and Phani walk into the class and after observing for a few minutes Jarina asks Phani “Don’t you notice that ABCD is a square?” Phani disagrees.

Using distance formula, find which of them is correct. Why?