A) \[\left( -\frac{2}{3},2 \right)\]
B) \[\left( \frac{1}{3},2 \right)\]
C) \[\left( \frac{2}{3},0 \right)\]
D) \[(2,7)\]
Correct Answer: A
Solution :
We have\[2|\hat{i}+x\hat{j}+3\hat{k}|\] \[=|4\hat{i}+(4x-2)\hat{j}+2\hat{k}|\] \[\Rightarrow \] \[4({{x}^{2}}+10)=20+{{(4x-2)}^{2}}\] \[\Rightarrow \] \[3{{x}^{2}}-4x-4=0\] \[\Rightarrow \] \[x=2,-\frac{2}{3}\]You need to login to perform this action.
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