Quantitative Aptitude Ques 2095

Question: If the distance between the points $ (x,0) $ and $ (-7,0) $ be 10 units, then the possible values of x are

Options:

A) $ 3 $ and $ 17 $

B) $ -3 $ and $ 17 $

C) $ 3 $ and $ -17 $

D) $ -3 $ and $ -17 $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Distance between the point $ (x,0) $ and $ (-7,0)=10 $ Given, $ x _1=x, $ $ y _1=0 $ $ x _2=-7 $ and $ y _2=0 $
    Required distance $ =\sqrt{{{(x _2-x _1)}^{2}}+{{(y _2-y _1)}^{2}}} $

$ \Rightarrow $ $ 10=\pm \sqrt{{{(-7-x)}^{2}}+{{(0-0)}^{2}}} $

$ \Rightarrow $ $ 10^{2}=\pm {{(x+7)}^{2}} $ If $ x+7=10, $ Then, $ x=3 $ If $ -(x+7)=10, $ Then, $ x=-17 $

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