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10th Class Mathematics Coordinate Geometry Question Bank Coordinate Geometry

  • question_answer
    A well planned locality, has two straight roads perpendicular to each other. There are 5 lanes parallel to Road - I. Each lane has 8 houses as seen in figure. Chaitanya lives in the 6th house of the 5th lane and Hamida lives in the 2nd house of the 2nd lane. What will be the shortest distance between their houses?

    A)  10 units          

    B)  12 units          

    C)         6 units        

    D)         5 units

    Correct Answer: D

    Solution :

    Acceding of question Coordinates of Chaitanya's house is \[(6,5)\] Coordinates of Hamida's house is \[(2,2)\] \[\therefore \]  Shortest distance between their houses \[=\sqrt{{{(6-2)}^{2}}+{{(5-2)}^{2}}}=5\] units.


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