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 |
A) \[3\]
B) \[-\,\,3\]
C) \[\pm \,\,3\]
D) \[1\]
E) \[-1\]
Correct Answer: C
Solution :
Let abscissa be x. |
Then, \[{{(x-0)}^{2}}+{{(-\,\,3-1)}^{2}}={{5}^{2}}\] |
\[\Rightarrow \] \[{{x}^{2}}+16=25\] |
\[\Rightarrow \] \[{{x}^{2}}=9\]\[\Rightarrow \]\[x=\pm \,\,3\] |
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