A) \[13\]
B) \[26\]
C) \[169\]
D) \[238\]
Correct Answer: B
Solution :
[b] \[A(-6,7),\,\,B(-1,-5)\] |
Let\[{{x}_{1}}=-6,\,\,{{y}_{1}}=7\] |
\[{{x}_{2}}=-1,\,\,{{y}_{2}}=-5\] |
Distance, \[AB=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{3}}}\] |
\[=\sqrt{{{(-1+6)}^{2}}+{{(-5-7)}^{2}}}\] |
\[=\sqrt{{{5}^{2}}+{{(-12)}^{2}}}=\sqrt{25+144}=\sqrt{169}=13\] |
\[2AB=2\times 13=26\] |
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