A) \[\pm 2\]
B) \[\pm 4\]
C) \[\pm 3\]
D) \[\pm 5\]
Correct Answer: B
Solution :
| [b] Given, the distance between the points \[(4,k)\] and \[(1,0)\] is 5. |
| \[\therefore \,\,\,\,\,\,\,\,\,\,\sqrt{{{(1-4)}^{2}}+{{(0-k)}^{2}}}=5\] |
| Squaring on both sides, we get |
| \[{{(-3)}^{2}}+{{(-k)}^{2}}={{(5)}^{2}}\] |
| \[\Rightarrow \,\,\,\,\,\,9+{{k}^{2}}=25\Rightarrow {{k}^{2}}=16\Rightarrow k=\pm 4\] |
| So, the values of k are \[-4\] and 4. |
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