A) \[\frac{9}{2}\]
B) \[2\sqrt{5}\]
C) \[\frac{\sqrt{5}}{2}\]
D) \[\frac{7}{2}\]
Correct Answer: A
Solution :
Any point on the given line can be \[(1+2\lambda ,-1+3\lambda ,2+4\lambda );\lambda \in R\] Put in plane \[1+2\lambda ,+(-2+6\lambda )+(6+12\lambda )=15\] \[20\lambda +5=15\] \[20\lambda =10\] \[\lambda =\frac{1}{2}\] \[\therefore \] Point\[\left( 2,\frac{1}{2},4 \right)\] Distance from origin \[=\sqrt{4+\frac{1}{4}+16}=\sqrt{\frac{16+1+64}{2}}=\sqrt{\frac{81}{2}}\]\[=\frac{9}{2}\]You need to login to perform this action.
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