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

  • question_answer
     
    Directions: Q. 16 to 20
    In a cinema hall, peoples are seated at a distance of 1 m from each other, to maintain the social distance due to CORONA virus pandemic. Let three peoples sit at points P, Q and R whose coordinates are (6, - 2), (9, 4) and (10, 6) respectively.
    Based on the above information, answer the following questions.
    The distance between P and R is

    A) \[\sqrt{5}\]units

    B) \[4\sqrt{5}\]units

    C) \[3\sqrt{5}\]units

    D) None of these

    Correct Answer: C

    Solution :

    Given, coordinates of P (6, - 2) and R (10, 6)
    \[\therefore\] Required distance
    \[=\sqrt{{{\left( 6-\left( -2 \right) \right)}^{2}}+{{\left( 10-6 \right)}^{2}}}\]
     \[=\sqrt{64+16}=\sqrt{80}\]
     \[=4\sqrt{5}\]units.
     


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