A) \[\frac{\sqrt{5}}{2}\]
B) \[\frac{\sqrt{3}}{2}\]
C) \[\frac{2}{\sqrt{5}}\]
D) \[\frac{2}{\sqrt{3}}\]
Correct Answer: A
Solution :
Let equation of line is \[(y-0)=m\left( x-\frac{3}{2} \right)\] \[\Rightarrow \,\,\,2mx-2y-3m=0\] Now, \[\frac{|3m|}{2\sqrt{1+{{m}^{2}}}}\,=\frac{\sqrt{5}}{2}\] \[\Rightarrow \,\,9{{m}^{2}}=5{{m}^{2}}+5\] \[\Rightarrow \,\,4{{m}^{2}}=5\] \[\Rightarrow \,\,m=\pm \,\frac{\sqrt{5}}{2}\]You need to login to perform this action.
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