A) 7
B) 14
C) \[\sqrt{65}\]
D) \[\sqrt{33}\]
Correct Answer: C
Solution :
Let the co-ordinates of the point of intersection be \[({{x}_{1}},{{y}_{1}})\] \[\therefore \] \[{{x}_{1}}+{{y}_{1}}=11\] and \[{{x}_{1}}-{{y}_{1}}=3\] \[\Rightarrow \] \[{{x}_{1}}=7\] and \[{{y}_{1}}=4\] \[\therefore \] Required distance of the origin \[(0,0)\] from the point of intersection \[=\sqrt{{{(7-0)}^{2}}+{{(4-0)}^{2}}}\] \[=\sqrt{49+16}=\sqrt{65}\]You need to login to perform this action.
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