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Introduction To Trigonometry

Question

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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)

Solution

Let the given points be A(-3, 5), B(3, 1), C(0, 3) and D(-1,-4).

So, quadrilateral ABCD is not formed.

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)

Find the values of y for which the distance between the points P(2, – 3) and Q(10, y) is 10 units.

Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (-3, 4).

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