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Introduction to Trigonometry
Let P and Q be the point of trisection of AB. Then,
AP = PQ = QB = 1
Case I. Here P divides AB in the ratio 1 : 2.
So, we have
x1 = 4, y1 = -1
x2 = -2, y2 = -3
and m1 = 1, m2 = 2
∴ The coordinates of P are given by
Case II. Here, Q divides AB in the ratio 2 : 1. So, we have
x1 = 4, y1 = -1
x2 = 2, y2 = -3
and m1 = 2, m2 = 1
∴ The coordinates of Q are given by
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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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