Question
Answer the questions based on the following information:
A rectangle PRSU is divided into two smaller rectangles PQTU, and QRST by the line TQ.PQ = 10cm. QR = 5 cm and Rs = 10cm. 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,E), (B,C), (B,D), (B,E) are 10√3 cm apart.
Which of the following statements is necessarily true?
Answer: Option A
:
A
The diagonal length of a rectancle PUSR = 5√13 = 18 (approx)
Among given eight pairs the shortest distance = 10√3
So, the six points A, B, F, C, D and E are near corner of rectangle PUSR.
So, (F,C) cannot be the shortest distance.
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:
A
The diagonal length of a rectancle PUSR = 5√13 = 18 (approx)
Among given eight pairs the shortest distance = 10√3
So, the six points A, B, F, C, D and E are near corner of rectangle PUSR.
So, (F,C) cannot be the shortest distance.
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