Quantitative Aptitude Ques 546

Question: Coordinates of a point is (0, 1) and ordinate of an another point is $ -3. $ If the distance between the points is 5, then abscissa of second point is [NICL (AAO) 2014]

Options:

A) 3

B) $ -,3 $

C) $ \pm 3 $

D) 1

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let abscissa be x. Then, $ \sqrt{{{(x-0)}^{2}}+{{(-,3-1)}^{2}}}=5 $
    $ \Rightarrow $ $ (x^{2})+{{(-,4)}^{2}}=25 $
    $ \Rightarrow $ $ x^{2}=25-16=9 $
    $ \Rightarrow $ $ x=\pm ,3 $
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