question_answer

The points on x-axis which are at a distance of \[\sqrt{13}\] units from (- 2, 3) is____.

A)  (0, 0), (- 2, - 3)            

B)  (0, 0), (- 4, 0)

C)  (0, 0), (2, 3)                 

D)  None of these

Correct Answer: B

Solution :

(b): \[{{(x+2)}^{2}}+{{(0-3)}^{2}}={{\left( \sqrt{13} \right)}^{2}}\]        \[\Rightarrow \]   \[{{(x+2)}^{2}}+9=13\] \[\Rightarrow \]   \[{{(x+2)}^{2}}=4\]    \[\Rightarrow \] \[(x+2)=\pm \,2\] \[\Rightarrow \]   \[x=2-2\] or, \[x=-2-2\] \[\Rightarrow \]   \[x=0\] or, \[x=-4\]