10th Class Mathematics Coordinate Geometry Question Bank Case Based (MCQs) - Coordinate Geometry

  • question_answer
    Study Case : Q. 6 to 10
    Centonion Public School Society, which has so many schools in different cities of India. One of the branch of Centonion Public School is in Meerut. In that School hundreds of students are in a classroom.
    Out of them one of the girl is standing in the ground having coordinates \[(3,4)\] facing towards west. She moves 5 units in straight line then take right and moves 4 units and stop. Now, she is at her coaching centre. The representation of the above situation on the coordinate axes is shown below:  
    Based on the above information give the answer of the following questions.
    What is the shortest distance between her school and coaching centre?

    A) \[\sqrt{41}\] units

    B)  3 units

    C)  6 units

    D)  7 units

    Correct Answer: A

    Solution :

    From the above figure, shortest distance between school and coaching centre = BC
    \[=\sqrt{{{(-2-3)}^{2}}+{{(8-4)}^{2}}}\]
    \[=\sqrt{{{(-5)}^{2}}+{{(4)}^{2}}}=\sqrt{25+16}=\sqrt{41}\]units
    So, option [a] is correct.


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