A) \[30{}^\circ \]
B) \[45{}^\circ \]
C) \[60{}^\circ \]
D) \[75{}^\circ \]
Correct Answer: C
Solution :
Let the straight line joining \[(-1,\,0)\] and \[(-\sqrt{2},\,-\sqrt{3})\] makes with the x-axis an angle equal to \[\theta \]. \[\therefore \] \[\tan \theta =\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}=\frac{(-\sqrt{3})-0}{-2-(-1)}\] \[=\sqrt{3}=\tan \,{{60}^{o}}\] \[\therefore \] \[\theta ={{60}^{o}}\]You need to login to perform this action.
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