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GATE | GATE-CS-2015 (Set 2) | Question 7

Last Updated : 15 Feb, 2018

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Four branches of a company are located at M, N, O and P. M is north of N at a distance of 4 km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?

(A) 5.34
(B) 6.74
(C) 28.5
(D) 45.49

Answer: (A)

Explanation: 251
$\\ Distance \hspace{0.22cm}between \hspace{0.25cm}M\hspace{0.25} and\hspace{0.25cm} P = \sqrt{(4+(2 - a))^{2} + a^{2}}\\$
$\hspace{3cm}[a = \frac{1}{\sqrt{2}} ]\\ = 5.34$

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