Q195 / 270 · NDA 2012 (Phase 2) · Mathematics

Let $p, q, r, s$ be the distances from origin of the points $(2,6),(3,4),(4,5)$ and $(-2,5)$ respectively. Which one of the following is a whole number?

  • A
    $p$
  • Correct answer
    B
    $q$
  • C
    $r$
  • D
    $s$

Solution

$p=\sqrt{2^2+6^2} \Rightarrow \sqrt{40}$ $q=\sqrt{3^2+4^2}=5$ $\begin{aligned} & r=\sqrt{4^2+5^2}=\sqrt{41} \\ & s=\sqrt{2^2+5^2}=\sqrt{29}\end{aligned}$

Hence, the correct answer is option: 'B'.

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