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The Orthocentre

Let Ah, 0 ...

Question

Let $A (h, 0)$ & $B (0, k)$ be two given points and let $O$ be the origin. If area of $Δ O A B$ is $6$ units & $h$ & $k$ are integers, then length(s) of $A B$ may be

A

2 \sqrt{10}

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B

6

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C

5

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D

\sqrt{145}

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Solution

The correct options are
A $2 \sqrt{10}$
C $5$
D $\sqrt{145}$

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