In a classroom, desks are arranged in columns and rows. In this arrangement, 4 friends are seated at the points A(4, 5), B(7, 6), C(4, 3), D(1, 2). Rina and Tina walk into the class and after observing for a few minutes Rina asks Tina, “Don’t you think ABCD is a parallelogram?” Tina disagrees. Using this information, answer the following questions (a) In this case distance AB is (i) 3 (ii) 3√2 (iii) √10 (iv) 9 (b) In this case distance CD is (i) √10 (ii) 3√2 (iii) 9 (iv) 6 (c) In this case distance BC is (i) 9 (ii) √10 (iii) 3 (iv) 3√2 (d) In the above case who is correct? (i) Tina (ii) Rina (iii) Both (iv) None of these
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(a) Distance of AB = 3√2
(b) Distance of CD = 3√2
(c) Distance of BC = 3√2
(d) Tina is correct.
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