10th Class Mathematics Coordinate Geometry Question Bank Co-ordinate Geometry

  • question_answer
    The line joining (- 1, 0) and (-2,\[-\sqrt{3}\] ) makes with the x-axis an angle equal to

    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 \[\theta \]. \[\therefore \]  \[\tan \theta =\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}=\frac{(-\sqrt{3})-0}{-2-(-1)}\]                 \[=\sqrt{3}=\tan \,{{60}^{o}}\] \[\therefore \]  \[\theta ={{60}^{o}}\]


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