Question: Coordinates of a point is (0, 1) and ordinate of’ an another point is $ -3. $ If distance between both the points is 5, then abscissa of second point is
Options:
A) $ 3 $
B) $ -3 $
C) $ \pm 3 $
D) $ 1 $
E) $ -1 $
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Answer:
Correct Answer: C
Solution:
- Let abscissa be x.
Then, $ {{(x-0)}^{2}}+{{(-3-1)}^{2}}=5^{2} $
$ \Rightarrow $ $ x^{2}+16=25 $
$ \Rightarrow $ $ x^{2}=9 $
$ \Rightarrow $ $ x=\pm 3 $