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Question

Question 26. The question is based on the situation given below.

A rectangle PRSU, is divided into two smaller rectangles PQTU and QRST by the line TQ. PQ = 10 cm, QR = 5 cm and RS = 10 cm. Points A, B, F are within rectangle PQTU and points C, D, E are within the rectangle QRST. The closest pair of points among the pairs (A, C), (A, D), (A, E), (F, C), (F, D), (F, E), (B, C), (B, D), (B, E) are 10 √ 3 cm apart.


Which of the following statements is necessarily true?


A

(a) The closest pair of points among the six given points cannot be (F, C)

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B

(b) Distance between A and B is greater than that between F and C

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C

(c) The closest pair of points among the six given points is (C, D), (D, E) or (C, E)

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D
(d) None of the above
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Solution

The correct option is A

(a) The closest pair of points among the six given points cannot be (F, C)


Answer 26.(a) The closest pair of points among the six given points cannot be (F, C).


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