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Introduction To Trigonometry

Question

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Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear

Solution

Let the given points be A( 1, 5), B(2, 3) and C(-2, -11). Then

Here, we see that AB + BC ≠ AC, BC + AC ≠ AB and AB + AC ≠ BC.
Hence, the points A, B and C are not collinear.

Some More Questions From Introduction to Trigonometry Chapter

Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear

In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. 7.8. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct.

Fig. 7.8

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(-1, -2), (1, 0), (-1, 2), (-3, 0)

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(–3, 5), (3, 1), (0, 3), (–1, – 4)

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